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Finding the Third Proportional to 261,927 and 571,842

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Solution

The third proportional to 261,927 and 571,842 is: 1,248,451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,927 : 571,842 = 571,842 : x
  2. Step 2: Convert to fraction form
    261,927/571,842 = 571,842/x
  3. Step 3: Cross multiply
    261,927x = 571,842 × 571,842
  4. Step 4: Simplify right side
    261,927x = 327,003,272,964
  5. Step 5: Solve for x
    x = 327,003,272,964/261,927
  6. Step 6: Final answer
    x = 1,248,451.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.