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Finding the Third Proportional to 262,932 and 567,902

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Solution

The third proportional to 262,932 and 567,902 is: 1,226,601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,932 : 567,902 = 567,902 : x
  2. Step 2: Convert to fraction form
    262,932/567,902 = 567,902/x
  3. Step 3: Cross multiply
    262,932x = 567,902 × 567,902
  4. Step 4: Simplify right side
    262,932x = 322,512,681,604
  5. Step 5: Solve for x
    x = 322,512,681,604/262,932
  6. Step 6: Final answer
    x = 1,226,601.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.