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Finding the Third Proportional to 616,464 and 967,294

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Solution

The third proportional to 616,464 and 967,294 is: 1,517,781.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,464 : 967,294 = 967,294 : x
  2. Step 2: Convert to fraction form
    616,464/967,294 = 967,294/x
  3. Step 3: Cross multiply
    616,464x = 967,294 × 967,294
  4. Step 4: Simplify right side
    616,464x = 935,657,682,436
  5. Step 5: Solve for x
    x = 935,657,682,436/616,464
  6. Step 6: Final answer
    x = 1,517,781.55

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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.