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Finding the Third Proportional to 402,236 and 794,320

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Solution

The third proportional to 402,236 and 794,320 is: 1,568,592.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,236 : 794,320 = 794,320 : x
  2. Step 2: Convert to fraction form
    402,236/794,320 = 794,320/x
  3. Step 3: Cross multiply
    402,236x = 794,320 × 794,320
  4. Step 4: Simplify right side
    402,236x = 630,944,262,400
  5. Step 5: Solve for x
    x = 630,944,262,400/402,236
  6. Step 6: Final answer
    x = 1,568,592.23

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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.