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Finding the Third Proportional to 343,896 and 729,552

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Solution

The third proportional to 343,896 and 729,552 is: 1,547,695.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,896 : 729,552 = 729,552 : x
  2. Step 2: Convert to fraction form
    343,896/729,552 = 729,552/x
  3. Step 3: Cross multiply
    343,896x = 729,552 × 729,552
  4. Step 4: Simplify right side
    343,896x = 532,246,120,704
  5. Step 5: Solve for x
    x = 532,246,120,704/343,896
  6. Step 6: Final answer
    x = 1,547,695.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.