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Finding the Third Proportional to 491,445 and 781,429.50

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Solution

The third proportional to 491,445 and 781,429.50 is: 1,242,523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,445 : 781,429.50 = 781,429.50 : x
  2. Step 2: Convert to fraction form
    491,445/781,429.50 = 781,429.50/x
  3. Step 3: Cross multiply
    491,445x = 781,429.50 × 781,429.50
  4. Step 4: Simplify right side
    491,445x = 610,632,063,470.25
  5. Step 5: Solve for x
    x = 610,632,063,470.25/491,445
  6. Step 6: Final answer
    x = 1,242,523.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.