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Finding the Third Proportional to 402,228 and 794,304

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Solution

The third proportional to 402,228 and 794,304 is: 1,568,560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,228 : 794,304 = 794,304 : x
  2. Step 2: Convert to fraction form
    402,228/794,304 = 794,304/x
  3. Step 3: Cross multiply
    402,228x = 794,304 × 794,304
  4. Step 4: Simplify right side
    402,228x = 630,918,844,416
  5. Step 5: Solve for x
    x = 630,918,844,416/402,228
  6. Step 6: Final answer
    x = 1,568,560.23

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.