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Finding the Third Proportional to 124,777 and 270,573

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Solution

The third proportional to 124,777 and 270,573 is: 586,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,777 : 270,573 = 270,573 : x
  2. Step 2: Convert to fraction form
    124,777/270,573 = 270,573/x
  3. Step 3: Cross multiply
    124,777x = 270,573 × 270,573
  4. Step 4: Simplify right side
    124,777x = 73,209,748,329
  5. Step 5: Solve for x
    x = 73,209,748,329/124,777
  6. Step 6: Final answer
    x = 586,724.70

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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.