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Finding the Third Proportional to 402,264 and 794,376

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Solution

The third proportional to 402,264 and 794,376 is: 1,568,704.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,264 : 794,376 = 794,376 : x
  2. Step 2: Convert to fraction form
    402,264/794,376 = 794,376/x
  3. Step 3: Cross multiply
    402,264x = 794,376 × 794,376
  4. Step 4: Simplify right side
    402,264x = 631,033,229,376
  5. Step 5: Solve for x
    x = 631,033,229,376/402,264
  6. Step 6: Final answer
    x = 1,568,704.21

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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.