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Finding the Third Proportional to 270,235 and 625,530

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Solution

The third proportional to 270,235 and 625,530 is: 1,447,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,235 : 625,530 = 625,530 : x
  2. Step 2: Convert to fraction form
    270,235/625,530 = 625,530/x
  3. Step 3: Cross multiply
    270,235x = 625,530 × 625,530
  4. Step 4: Simplify right side
    270,235x = 391,287,780,900
  5. Step 5: Solve for x
    x = 391,287,780,900/270,235
  6. Step 6: Final answer
    x = 1,447,953.75

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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.