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Finding the Third Proportional to 267,852 and 572,031

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Solution

The third proportional to 267,852 and 572,031 is: 1,221,642.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,852 : 572,031 = 572,031 : x
  2. Step 2: Convert to fraction form
    267,852/572,031 = 572,031/x
  3. Step 3: Cross multiply
    267,852x = 572,031 × 572,031
  4. Step 4: Simplify right side
    267,852x = 327,219,464,961
  5. Step 5: Solve for x
    x = 327,219,464,961/267,852
  6. Step 6: Final answer
    x = 1,221,642.79

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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.