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Finding the Third Proportional to 338,017 and 731,810

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Solution

The third proportional to 338,017 and 731,810 is: 1,584,375.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,017 : 731,810 = 731,810 : x
  2. Step 2: Convert to fraction form
    338,017/731,810 = 731,810/x
  3. Step 3: Cross multiply
    338,017x = 731,810 × 731,810
  4. Step 4: Simplify right side
    338,017x = 535,545,876,100
  5. Step 5: Solve for x
    x = 535,545,876,100/338,017
  6. Step 6: Final answer
    x = 1,584,375.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.