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Finding the Third Proportional to 361,056 and 782,376

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Solution

The third proportional to 361,056 and 782,376 is: 1,695,338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,056 : 782,376 = 782,376 : x
  2. Step 2: Convert to fraction form
    361,056/782,376 = 782,376/x
  3. Step 3: Cross multiply
    361,056x = 782,376 × 782,376
  4. Step 4: Simplify right side
    361,056x = 612,112,205,376
  5. Step 5: Solve for x
    x = 612,112,205,376/361,056
  6. Step 6: Final answer
    x = 1,695,338.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.