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Finding the Third Proportional to 508,614.19 and 773,104.50

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Solution

The third proportional to 508,614.19 and 773,104.50 is: 1,175,135.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,614.19 : 773,104.50 = 773,104.50 : x
  2. Step 2: Convert to fraction form
    508,614.19/773,104.50 = 773,104.50/x
  3. Step 3: Cross multiply
    508,614.19x = 773,104.50 × 773,104.50
  4. Step 4: Simplify right side
    508,614.19x = 597,690,567,920.25
  5. Step 5: Solve for x
    x = 597,690,567,920.25/508,614.19
  6. Step 6: Final answer
    x = 1,175,135.46

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.