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Finding the Third Proportional to 262,902 and 574,446

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Solution

The third proportional to 262,902 and 574,446 is: 1,255,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,902 : 574,446 = 574,446 : x
  2. Step 2: Convert to fraction form
    262,902/574,446 = 574,446/x
  3. Step 3: Cross multiply
    262,902x = 574,446 × 574,446
  4. Step 4: Simplify right side
    262,902x = 329,988,206,916
  5. Step 5: Solve for x
    x = 329,988,206,916/262,902
  6. Step 6: Final answer
    x = 1,255,175.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.