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Finding the Third Proportional to 260,044 and 413,750

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Solution

The third proportional to 260,044 and 413,750 is: 658,308.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,044 : 413,750 = 413,750 : x
  2. Step 2: Convert to fraction form
    260,044/413,750 = 413,750/x
  3. Step 3: Cross multiply
    260,044x = 413,750 × 413,750
  4. Step 4: Simplify right side
    260,044x = 171,189,062,500
  5. Step 5: Solve for x
    x = 171,189,062,500/260,044
  6. Step 6: Final answer
    x = 658,308.07

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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.