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Finding the Third Proportional to 264,767.50 and 404,079

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Solution

The third proportional to 264,767.50 and 404,079 is: 616,691.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,767.50 : 404,079 = 404,079 : x
  2. Step 2: Convert to fraction form
    264,767.50/404,079 = 404,079/x
  3. Step 3: Cross multiply
    264,767.50x = 404,079 × 404,079
  4. Step 4: Simplify right side
    264,767.50x = 163,279,838,241
  5. Step 5: Solve for x
    x = 163,279,838,241/264,767.50
  6. Step 6: Final answer
    x = 616,691.39

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.