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Finding the Third Proportional to 241,630 and 523,082

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Solution

The third proportional to 241,630 and 523,082 is: 1,132,370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,630 : 523,082 = 523,082 : x
  2. Step 2: Convert to fraction form
    241,630/523,082 = 523,082/x
  3. Step 3: Cross multiply
    241,630x = 523,082 × 523,082
  4. Step 4: Simplify right side
    241,630x = 273,614,778,724
  5. Step 5: Solve for x
    x = 273,614,778,724/241,630
  6. Step 6: Final answer
    x = 1,132,370.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.