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Finding the Third Proportional to 261,782 and 420,008

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Solution

The third proportional to 261,782 and 420,008 is: 673,868.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,782 : 420,008 = 420,008 : x
  2. Step 2: Convert to fraction form
    261,782/420,008 = 420,008/x
  3. Step 3: Cross multiply
    261,782x = 420,008 × 420,008
  4. Step 4: Simplify right side
    261,782x = 176,406,720,064
  5. Step 5: Solve for x
    x = 176,406,720,064/261,782
  6. Step 6: Final answer
    x = 673,868.79

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.