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Finding the Third Proportional to 261,706 and 415,073

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Solution

The third proportional to 261,706 and 415,073 is: 658,317.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,706 : 415,073 = 415,073 : x
  2. Step 2: Convert to fraction form
    261,706/415,073 = 415,073/x
  3. Step 3: Cross multiply
    261,706x = 415,073 × 415,073
  4. Step 4: Simplify right side
    261,706x = 172,285,595,329
  5. Step 5: Solve for x
    x = 172,285,595,329/261,706
  6. Step 6: Final answer
    x = 658,317.33

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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.