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Finding the Third Proportional to 270,233 and 625,525

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Solution

The third proportional to 270,233 and 625,525 is: 1,447,941.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,233 : 625,525 = 625,525 : x
  2. Step 2: Convert to fraction form
    270,233/625,525 = 625,525/x
  3. Step 3: Cross multiply
    270,233x = 625,525 × 625,525
  4. Step 4: Simplify right side
    270,233x = 391,281,525,625
  5. Step 5: Solve for x
    x = 391,281,525,625/270,233
  6. Step 6: Final answer
    x = 1,447,941.32

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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.