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Finding the Third Proportional to 314,691.75 and 488,166.75

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Solution

The third proportional to 314,691.75 and 488,166.75 is: 757,270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,691.75 : 488,166.75 = 488,166.75 : x
  2. Step 2: Convert to fraction form
    314,691.75/488,166.75 = 488,166.75/x
  3. Step 3: Cross multiply
    314,691.75x = 488,166.75 × 488,166.75
  4. Step 4: Simplify right side
    314,691.75x = 238,306,775,805.56
  5. Step 5: Solve for x
    x = 238,306,775,805.56/314,691.75
  6. Step 6: Final answer
    x = 757,270.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.