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Finding the Third Proportional to 616,513 and 967,376

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Solution

The third proportional to 616,513 and 967,376 is: 1,517,918.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,513 : 967,376 = 967,376 : x
  2. Step 2: Convert to fraction form
    616,513/967,376 = 967,376/x
  3. Step 3: Cross multiply
    616,513x = 967,376 × 967,376
  4. Step 4: Simplify right side
    616,513x = 935,816,325,376
  5. Step 5: Solve for x
    x = 935,816,325,376/616,513
  6. Step 6: Final answer
    x = 1,517,918.24

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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.