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Finding the Third Proportional to 522,522 and 781,758

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Solution

The third proportional to 522,522 and 781,758 is: 1,169,607.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,522 : 781,758 = 781,758 : x
  2. Step 2: Convert to fraction form
    522,522/781,758 = 781,758/x
  3. Step 3: Cross multiply
    522,522x = 781,758 × 781,758
  4. Step 4: Simplify right side
    522,522x = 611,145,570,564
  5. Step 5: Solve for x
    x = 611,145,570,564/522,522
  6. Step 6: Final answer
    x = 1,169,607.35

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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.