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Finding the Third Proportional to 406,961 and 598,675

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Solution

The third proportional to 406,961 and 598,675 is: 880,702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,961 : 598,675 = 598,675 : x
  2. Step 2: Convert to fraction form
    406,961/598,675 = 598,675/x
  3. Step 3: Cross multiply
    406,961x = 598,675 × 598,675
  4. Step 4: Simplify right side
    406,961x = 358,411,755,625
  5. Step 5: Solve for x
    x = 358,411,755,625/406,961
  6. Step 6: Final answer
    x = 880,702.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.