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Finding the Third Proportional to 616,524 and 967,392

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Solution

The third proportional to 616,524 and 967,392 is: 1,517,941.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,524 : 967,392 = 967,392 : x
  2. Step 2: Convert to fraction form
    616,524/967,392 = 967,392/x
  3. Step 3: Cross multiply
    616,524x = 967,392 × 967,392
  4. Step 4: Simplify right side
    616,524x = 935,847,281,664
  5. Step 5: Solve for x
    x = 935,847,281,664/616,524
  6. Step 6: Final answer
    x = 1,517,941.36

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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.