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Finding the Third Proportional to 496,442.25 and 767,129.91

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Solution

The third proportional to 496,442.25 and 767,129.91 is: 1,185,411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,442.25 : 767,129.91 = 767,129.91 : x
  2. Step 2: Convert to fraction form
    496,442.25/767,129.91 = 767,129.91/x
  3. Step 3: Cross multiply
    496,442.25x = 767,129.91 × 767,129.91
  4. Step 4: Simplify right side
    496,442.25x = 588,488,293,063.13
  5. Step 5: Solve for x
    x = 588,488,293,063.13/496,442.25
  6. Step 6: Final answer
    x = 1,185,411.38

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