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Finding the Third Proportional to 261,702 and 415,080

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Solution

The third proportional to 261,702 and 415,080 is: 658,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,702 : 415,080 = 415,080 : x
  2. Step 2: Convert to fraction form
    261,702/415,080 = 415,080/x
  3. Step 3: Cross multiply
    261,702x = 415,080 × 415,080
  4. Step 4: Simplify right side
    261,702x = 172,291,406,400
  5. Step 5: Solve for x
    x = 172,291,406,400/261,702
  6. Step 6: Final answer
    x = 658,349.60

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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.