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Finding the Third Proportional to 499,508 and 794,472

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Solution

The third proportional to 499,508 and 794,472 is: 1,263,614.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,508 : 794,472 = 794,472 : x
  2. Step 2: Convert to fraction form
    499,508/794,472 = 794,472/x
  3. Step 3: Cross multiply
    499,508x = 794,472 × 794,472
  4. Step 4: Simplify right side
    499,508x = 631,185,758,784
  5. Step 5: Solve for x
    x = 631,185,758,784/499,508
  6. Step 6: Final answer
    x = 1,263,614.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.