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Finding the Third Proportional to 250,714 and 536,419

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Solution

The third proportional to 250,714 and 536,419 is: 1,147,703.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,714 : 536,419 = 536,419 : x
  2. Step 2: Convert to fraction form
    250,714/536,419 = 536,419/x
  3. Step 3: Cross multiply
    250,714x = 536,419 × 536,419
  4. Step 4: Simplify right side
    250,714x = 287,745,343,561
  5. Step 5: Solve for x
    x = 287,745,343,561/250,714
  6. Step 6: Final answer
    x = 1,147,703.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.