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Finding the Third Proportional to 124,779 and 270,579

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Solution

The third proportional to 124,779 and 270,579 is: 586,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,779 : 270,579 = 270,579 : x
  2. Step 2: Convert to fraction form
    124,779/270,579 = 270,579/x
  3. Step 3: Cross multiply
    124,779x = 270,579 × 270,579
  4. Step 4: Simplify right side
    124,779x = 73,212,995,241
  5. Step 5: Solve for x
    x = 73,212,995,241/124,779
  6. Step 6: Final answer
    x = 586,741.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.