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Finding the Third Proportional to 319,874.50 and 679,109

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Solution

The third proportional to 319,874.50 and 679,109 is: 1,441,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,874.50 : 679,109 = 679,109 : x
  2. Step 2: Convert to fraction form
    319,874.50/679,109 = 679,109/x
  3. Step 3: Cross multiply
    319,874.50x = 679,109 × 679,109
  4. Step 4: Simplify right side
    319,874.50x = 461,189,033,881
  5. Step 5: Solve for x
    x = 461,189,033,881/319,874.50
  6. Step 6: Final answer
    x = 1,441,781.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.