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Finding the Third Proportional to 574,276 and 855,802

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Solution

The third proportional to 574,276 and 855,802 is: 1,275,339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,276 : 855,802 = 855,802 : x
  2. Step 2: Convert to fraction form
    574,276/855,802 = 855,802/x
  3. Step 3: Cross multiply
    574,276x = 855,802 × 855,802
  4. Step 4: Simplify right side
    574,276x = 732,397,063,204
  5. Step 5: Solve for x
    x = 732,397,063,204/574,276
  6. Step 6: Final answer
    x = 1,275,339.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.