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Finding the Third Proportional to 411,520.50 and 587,346.19

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Solution

The third proportional to 411,520.50 and 587,346.19 is: 838,294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,520.50 : 587,346.19 = 587,346.19 : x
  2. Step 2: Convert to fraction form
    411,520.50/587,346.19 = 587,346.19/x
  3. Step 3: Cross multiply
    411,520.50x = 587,346.19 × 587,346.19
  4. Step 4: Simplify right side
    411,520.50x = 344,975,543,970.79
  5. Step 5: Solve for x
    x = 344,975,543,970.79/411,520.50
  6. Step 6: Final answer
    x = 838,294.92

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.