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Finding the Third Proportional to 616,514.06 and 967,377.09

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Solution

The third proportional to 616,514.06 and 967,377.09 is: 1,517,919.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,514.06 : 967,377.09 = 967,377.09 : x
  2. Step 2: Convert to fraction form
    616,514.06/967,377.09 = 967,377.09/x
  3. Step 3: Cross multiply
    616,514.06x = 967,377.09 × 967,377.09
  4. Step 4: Simplify right side
    616,514.06x = 935,818,441,512.20
  5. Step 5: Solve for x
    x = 935,818,441,512.20/616,514.06
  6. Step 6: Final answer
    x = 1,517,919.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.