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Finding the Third Proportional to 261,930 and 571,837

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Solution

The third proportional to 261,930 and 571,837 is: 1,248,415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,930 : 571,837 = 571,837 : x
  2. Step 2: Convert to fraction form
    261,930/571,837 = 571,837/x
  3. Step 3: Cross multiply
    261,930x = 571,837 × 571,837
  4. Step 4: Simplify right side
    261,930x = 326,997,554,569
  5. Step 5: Solve for x
    x = 326,997,554,569/261,930
  6. Step 6: Final answer
    x = 1,248,415.82

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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.