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Finding the Third Proportional to 290,657 and 625,837

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Solution

The third proportional to 290,657 and 625,837 is: 1,347,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,657 : 625,837 = 625,837 : x
  2. Step 2: Convert to fraction form
    290,657/625,837 = 625,837/x
  3. Step 3: Cross multiply
    290,657x = 625,837 × 625,837
  4. Step 4: Simplify right side
    290,657x = 391,671,950,569
  5. Step 5: Solve for x
    x = 391,671,950,569/290,657
  6. Step 6: Final answer
    x = 1,347,540.06

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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.