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Finding the Third Proportional to 366,481 and 788,366

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Solution

The third proportional to 366,481 and 788,366 is: 1,695,915.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,481 : 788,366 = 788,366 : x
  2. Step 2: Convert to fraction form
    366,481/788,366 = 788,366/x
  3. Step 3: Cross multiply
    366,481x = 788,366 × 788,366
  4. Step 4: Simplify right side
    366,481x = 621,520,949,956
  5. Step 5: Solve for x
    x = 621,520,949,956/366,481
  6. Step 6: Final answer
    x = 1,695,915.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.