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Finding the Third Proportional to 369,650 and 791,782

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Solution

The third proportional to 369,650 and 791,782 is: 1,695,979.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,650 : 791,782 = 791,782 : x
  2. Step 2: Convert to fraction form
    369,650/791,782 = 791,782/x
  3. Step 3: Cross multiply
    369,650x = 791,782 × 791,782
  4. Step 4: Simplify right side
    369,650x = 626,918,735,524
  5. Step 5: Solve for x
    x = 626,918,735,524/369,650
  6. Step 6: Final answer
    x = 1,695,979.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.