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Finding the Third Proportional to 270,255 and 625,569

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Solution

The third proportional to 270,255 and 625,569 is: 1,448,027.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,255 : 625,569 = 625,569 : x
  2. Step 2: Convert to fraction form
    270,255/625,569 = 625,569/x
  3. Step 3: Cross multiply
    270,255x = 625,569 × 625,569
  4. Step 4: Simplify right side
    270,255x = 391,336,573,761
  5. Step 5: Solve for x
    x = 391,336,573,761/270,255
  6. Step 6: Final answer
    x = 1,448,027.14

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.