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Finding the Third Proportional to 241,720 and 526,452

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Solution

The third proportional to 241,720 and 526,452 is: 1,146,581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,720 : 526,452 = 526,452 : x
  2. Step 2: Convert to fraction form
    241,720/526,452 = 526,452/x
  3. Step 3: Cross multiply
    241,720x = 526,452 × 526,452
  4. Step 4: Simplify right side
    241,720x = 277,151,708,304
  5. Step 5: Solve for x
    x = 277,151,708,304/241,720
  6. Step 6: Final answer
    x = 1,146,581.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.