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Finding the Third Proportional to 288,724 and 595,755

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Solution

The third proportional to 288,724 and 595,755 is: 1,229,284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,724 : 595,755 = 595,755 : x
  2. Step 2: Convert to fraction form
    288,724/595,755 = 595,755/x
  3. Step 3: Cross multiply
    288,724x = 595,755 × 595,755
  4. Step 4: Simplify right side
    288,724x = 354,924,020,025
  5. Step 5: Solve for x
    x = 354,924,020,025/288,724
  6. Step 6: Final answer
    x = 1,229,284.78

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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.