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Finding the Third Proportional to 364,963.50 and 488,191.50

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Solution

The third proportional to 364,963.50 and 488,191.50 is: 653,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,963.50 : 488,191.50 = 488,191.50 : x
  2. Step 2: Convert to fraction form
    364,963.50/488,191.50 = 488,191.50/x
  3. Step 3: Cross multiply
    364,963.50x = 488,191.50 × 488,191.50
  4. Step 4: Simplify right side
    364,963.50x = 238,330,940,672.25
  5. Step 5: Solve for x
    x = 238,330,940,672.25/364,963.50
  6. Step 6: Final answer
    x = 653,026.78

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.