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Finding the Third Proportional to 418,689 and 614,425.50

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Solution

The third proportional to 418,689 and 614,425.50 is: 901,668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,689 : 614,425.50 = 614,425.50 : x
  2. Step 2: Convert to fraction form
    418,689/614,425.50 = 614,425.50/x
  3. Step 3: Cross multiply
    418,689x = 614,425.50 × 614,425.50
  4. Step 4: Simplify right side
    418,689x = 377,518,695,050.25
  5. Step 5: Solve for x
    x = 377,518,695,050.25/418,689
  6. Step 6: Final answer
    x = 901,668.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.