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Finding the Third Proportional to 240,522.75 and 522,630

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Solution

The third proportional to 240,522.75 and 522,630 is: 1,135,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,522.75 : 522,630 = 522,630 : x
  2. Step 2: Convert to fraction form
    240,522.75/522,630 = 522,630/x
  3. Step 3: Cross multiply
    240,522.75x = 522,630 × 522,630
  4. Step 4: Simplify right side
    240,522.75x = 273,142,116,900
  5. Step 5: Solve for x
    x = 273,142,116,900/240,522.75
  6. Step 6: Final answer
    x = 1,135,618.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.