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Finding the Third Proportional to 270,238 and 625,536

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Solution

The third proportional to 270,238 and 625,536 is: 1,447,965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,238 : 625,536 = 625,536 : x
  2. Step 2: Convert to fraction form
    270,238/625,536 = 625,536/x
  3. Step 3: Cross multiply
    270,238x = 625,536 × 625,536
  4. Step 4: Simplify right side
    270,238x = 391,295,287,296
  5. Step 5: Solve for x
    x = 391,295,287,296/270,238
  6. Step 6: Final answer
    x = 1,447,965.45

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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.