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Finding the Third Proportional to 290,700 and 625,920

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Solution

The third proportional to 290,700 and 625,920 is: 1,347,698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,700 : 625,920 = 625,920 : x
  2. Step 2: Convert to fraction form
    290,700/625,920 = 625,920/x
  3. Step 3: Cross multiply
    290,700x = 625,920 × 625,920
  4. Step 4: Simplify right side
    290,700x = 391,775,846,400
  5. Step 5: Solve for x
    x = 391,775,846,400/290,700
  6. Step 6: Final answer
    x = 1,347,698.13

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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.