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Finding the Third Proportional to 270,000 and 625,068

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Solution

The third proportional to 270,000 and 625,068 is: 1,447,074.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,000 : 625,068 = 625,068 : x
  2. Step 2: Convert to fraction form
    270,000/625,068 = 625,068/x
  3. Step 3: Cross multiply
    270,000x = 625,068 × 625,068
  4. Step 4: Simplify right side
    270,000x = 390,710,004,624
  5. Step 5: Solve for x
    x = 390,710,004,624/270,000
  6. Step 6: Final answer
    x = 1,447,074.09

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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.