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Finding the Third Proportional to 616,473 and 967,305

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Solution

The third proportional to 616,473 and 967,305 is: 1,517,793.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,473 : 967,305 = 967,305 : x
  2. Step 2: Convert to fraction form
    616,473/967,305 = 967,305/x
  3. Step 3: Cross multiply
    616,473x = 967,305 × 967,305
  4. Step 4: Simplify right side
    616,473x = 935,678,963,025
  5. Step 5: Solve for x
    x = 935,678,963,025/616,473
  6. Step 6: Final answer
    x = 1,517,793.91

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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.