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Finding the Third Proportional to 343,891,156.50 and 726,597,508.50

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Solution

The third proportional to 343,891,156.50 and 726,597,508.50 is: 1,535,206,501.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,891,156.50 : 726,597,508.50 = 726,597,508.50 : x
  2. Step 2: Convert to fraction form
    343,891,156.50/726,597,508.50 = 726,597,508.50/x
  3. Step 3: Cross multiply
    343,891,156.50x = 726,597,508.50 × 726,597,508.50
  4. Step 4: Simplify right side
    343,891,156.50x = 527,943,939,358,407,552
  5. Step 5: Solve for x
    x = 527,943,939,358,407,552/343,891,156.50
  6. Step 6: Final answer
    x = 1,535,206,501.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.