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Finding the Third Proportional to 290,373 and 625,233

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Solution

The third proportional to 290,373 and 625,233 is: 1,346,255.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,373 : 625,233 = 625,233 : x
  2. Step 2: Convert to fraction form
    290,373/625,233 = 625,233/x
  3. Step 3: Cross multiply
    290,373x = 625,233 × 625,233
  4. Step 4: Simplify right side
    290,373x = 390,916,304,289
  5. Step 5: Solve for x
    x = 390,916,304,289/290,373
  6. Step 6: Final answer
    x = 1,346,255.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.