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Finding the Third Proportional to 408,459 and 571,324.50

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Solution

The third proportional to 408,459 and 571,324.50 is: 799,129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,459 : 571,324.50 = 571,324.50 : x
  2. Step 2: Convert to fraction form
    408,459/571,324.50 = 571,324.50/x
  3. Step 3: Cross multiply
    408,459x = 571,324.50 × 571,324.50
  4. Step 4: Simplify right side
    408,459x = 326,411,684,300.25
  5. Step 5: Solve for x
    x = 326,411,684,300.25/408,459
  6. Step 6: Final answer
    x = 799,129.62

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.