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Finding the Third Proportional to 340,989.75 and 516,223.13

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Solution

The third proportional to 340,989.75 and 516,223.13 is: 781,508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,989.75 : 516,223.13 = 516,223.13 : x
  2. Step 2: Convert to fraction form
    340,989.75/516,223.13 = 516,223.13/x
  3. Step 3: Cross multiply
    340,989.75x = 516,223.13 × 516,223.13
  4. Step 4: Simplify right side
    340,989.75x = 266,486,314,784.77
  5. Step 5: Solve for x
    x = 266,486,314,784.77/340,989.75
  6. Step 6: Final answer
    x = 781,508.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.