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Finding the Third Proportional to 364,991.06 and 488,229.19

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Solution

The third proportional to 364,991.06 and 488,229.19 is: 653,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,991.06 : 488,229.19 = 488,229.19 : x
  2. Step 2: Convert to fraction form
    364,991.06/488,229.19 = 488,229.19/x
  3. Step 3: Cross multiply
    364,991.06x = 488,229.19 × 488,229.19
  4. Step 4: Simplify right side
    364,991.06x = 238,367,739,526.91
  5. Step 5: Solve for x
    x = 238,367,739,526.91/364,991.06
  6. Step 6: Final answer
    x = 653,078.29

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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.