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Finding the Third Proportional to 270,096 and 625,304

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Solution

The third proportional to 270,096 and 625,304 is: 1,447,652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,096 : 625,304 = 625,304 : x
  2. Step 2: Convert to fraction form
    270,096/625,304 = 625,304/x
  3. Step 3: Cross multiply
    270,096x = 625,304 × 625,304
  4. Step 4: Simplify right side
    270,096x = 391,005,092,416
  5. Step 5: Solve for x
    x = 391,005,092,416/270,096
  6. Step 6: Final answer
    x = 1,447,652.29

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.