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Finding the Third Proportional to 410,733 and 631,057.50

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Solution

The third proportional to 410,733 and 631,057.50 is: 969,567.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,733 : 631,057.50 = 631,057.50 : x
  2. Step 2: Convert to fraction form
    410,733/631,057.50 = 631,057.50/x
  3. Step 3: Cross multiply
    410,733x = 631,057.50 × 631,057.50
  4. Step 4: Simplify right side
    410,733x = 398,233,568,306.25
  5. Step 5: Solve for x
    x = 398,233,568,306.25/410,733
  6. Step 6: Final answer
    x = 969,567.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.