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Finding the Third Proportional to 499,512 and 794,478

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Solution

The third proportional to 499,512 and 794,478 is: 1,263,623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,512 : 794,478 = 794,478 : x
  2. Step 2: Convert to fraction form
    499,512/794,478 = 794,478/x
  3. Step 3: Cross multiply
    499,512x = 794,478 × 794,478
  4. Step 4: Simplify right side
    499,512x = 631,195,292,484
  5. Step 5: Solve for x
    x = 631,195,292,484/499,512
  6. Step 6: Final answer
    x = 1,263,623.88

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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.