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Finding the Third Proportional to 291,375 and 635,706

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Solution

The third proportional to 291,375 and 635,706 is: 1,386,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,375 : 635,706 = 635,706 : x
  2. Step 2: Convert to fraction form
    291,375/635,706 = 635,706/x
  3. Step 3: Cross multiply
    291,375x = 635,706 × 635,706
  4. Step 4: Simplify right side
    291,375x = 404,122,118,436
  5. Step 5: Solve for x
    x = 404,122,118,436/291,375
  6. Step 6: Final answer
    x = 1,386,948.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.