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Finding the Third Proportional to 241,721 and 526,453

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Solution

The third proportional to 241,721 and 526,453 is: 1,146,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,721 : 526,453 = 526,453 : x
  2. Step 2: Convert to fraction form
    241,721/526,453 = 526,453/x
  3. Step 3: Cross multiply
    241,721x = 526,453 × 526,453
  4. Step 4: Simplify right side
    241,721x = 277,152,761,209
  5. Step 5: Solve for x
    x = 277,152,761,209/241,721
  6. Step 6: Final answer
    x = 1,146,581.23

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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.