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Finding the Third Proportional to 424,765.13 and 617,086.13

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Solution

The third proportional to 424,765.13 and 617,086.13 is: 896,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,765.13 : 617,086.13 = 617,086.13 : x
  2. Step 2: Convert to fraction form
    424,765.13/617,086.13 = 617,086.13/x
  3. Step 3: Cross multiply
    424,765.13x = 617,086.13 × 617,086.13
  4. Step 4: Simplify right side
    424,765.13x = 380,795,285,667.52
  5. Step 5: Solve for x
    x = 380,795,285,667.52/424,765.13
  6. Step 6: Final answer
    x = 896,484.35

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.