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Finding the Third Proportional to 241,429 and 519,674

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Solution

The third proportional to 241,429 and 519,674 is: 1,118,594.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,429 : 519,674 = 519,674 : x
  2. Step 2: Convert to fraction form
    241,429/519,674 = 519,674/x
  3. Step 3: Cross multiply
    241,429x = 519,674 × 519,674
  4. Step 4: Simplify right side
    241,429x = 270,061,066,276
  5. Step 5: Solve for x
    x = 270,061,066,276/241,429
  6. Step 6: Final answer
    x = 1,118,594.15

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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.