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Finding the Third Proportional to 261,701 and 415,071

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Solution

The third proportional to 261,701 and 415,071 is: 658,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,701 : 415,071 = 415,071 : x
  2. Step 2: Convert to fraction form
    261,701/415,071 = 415,071/x
  3. Step 3: Cross multiply
    261,701x = 415,071 × 415,071
  4. Step 4: Simplify right side
    261,701x = 172,283,935,041
  5. Step 5: Solve for x
    x = 172,283,935,041/261,701
  6. Step 6: Final answer
    x = 658,323.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.