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Finding the Third Proportional to 616,462 and 967,288

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Solution

The third proportional to 616,462 and 967,288 is: 1,517,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,462 : 967,288 = 967,288 : x
  2. Step 2: Convert to fraction form
    616,462/967,288 = 967,288/x
  3. Step 3: Cross multiply
    616,462x = 967,288 × 967,288
  4. Step 4: Simplify right side
    616,462x = 935,646,074,944
  5. Step 5: Solve for x
    x = 935,646,074,944/616,462
  6. Step 6: Final answer
    x = 1,517,767.64

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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.