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Finding the Third Proportional to 522,957 and 736,422.50

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Solution

The third proportional to 522,957 and 736,422.50 is: 1,037,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,957 : 736,422.50 = 736,422.50 : x
  2. Step 2: Convert to fraction form
    522,957/736,422.50 = 736,422.50/x
  3. Step 3: Cross multiply
    522,957x = 736,422.50 × 736,422.50
  4. Step 4: Simplify right side
    522,957x = 542,318,098,506.25
  5. Step 5: Solve for x
    x = 542,318,098,506.25/522,957
  6. Step 6: Final answer
    x = 1,037,022.35

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.