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Finding the Third Proportional to 270,254 and 625,566

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Solution

The third proportional to 270,254 and 625,566 is: 1,448,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,254 : 625,566 = 625,566 : x
  2. Step 2: Convert to fraction form
    270,254/625,566 = 625,566/x
  3. Step 3: Cross multiply
    270,254x = 625,566 × 625,566
  4. Step 4: Simplify right side
    270,254x = 391,332,820,356
  5. Step 5: Solve for x
    x = 391,332,820,356/270,254
  6. Step 6: Final answer
    x = 1,448,018.61

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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.