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Finding the Third Proportional to 340,492,519.50 and 708,159,795

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Solution

The third proportional to 340,492,519.50 and 708,159,795 is: 1,472,837,923.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,492,519.50 : 708,159,795 = 708,159,795 : x
  2. Step 2: Convert to fraction form
    340,492,519.50/708,159,795 = 708,159,795/x
  3. Step 3: Cross multiply
    340,492,519.50x = 708,159,795 × 708,159,795
  4. Step 4: Simplify right side
    340,492,519.50x = 501,490,295,254,442,048
  5. Step 5: Solve for x
    x = 501,490,295,254,442,048/340,492,519.50
  6. Step 6: Final answer
    x = 1,472,837,923.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.