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Finding the Third Proportional to 288,727 and 595,761

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Solution

The third proportional to 288,727 and 595,761 is: 1,229,296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,727 : 595,761 = 595,761 : x
  2. Step 2: Convert to fraction form
    288,727/595,761 = 595,761/x
  3. Step 3: Cross multiply
    288,727x = 595,761 × 595,761
  4. Step 4: Simplify right side
    288,727x = 354,931,169,121
  5. Step 5: Solve for x
    x = 354,931,169,121/288,727
  6. Step 6: Final answer
    x = 1,229,296.77

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.