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Finding the Third Proportional to 522,450 and 781,650

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Solution

The third proportional to 522,450 and 781,650 is: 1,169,445.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,450 : 781,650 = 781,650 : x
  2. Step 2: Convert to fraction form
    522,450/781,650 = 781,650/x
  3. Step 3: Cross multiply
    522,450x = 781,650 × 781,650
  4. Step 4: Simplify right side
    522,450x = 610,976,722,500
  5. Step 5: Solve for x
    x = 610,976,722,500/522,450
  6. Step 6: Final answer
    x = 1,169,445.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.