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Finding the Third Proportional to 616,467.38 and 967,298.63

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Solution

The third proportional to 616,467.38 and 967,298.63 is: 1,517,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,467.38 : 967,298.63 = 967,298.63 : x
  2. Step 2: Convert to fraction form
    616,467.38/967,298.63 = 967,298.63/x
  3. Step 3: Cross multiply
    616,467.38x = 967,298.63 × 967,298.63
  4. Step 4: Simplify right side
    616,467.38x = 935,666,629,926.89
  5. Step 5: Solve for x
    x = 935,666,629,926.89/616,467.38
  6. Step 6: Final answer
    x = 1,517,787.75

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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.