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Finding the Third Proportional to 272,166 and 583,680

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Solution

The third proportional to 272,166 and 583,680 is: 1,251,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,166 : 583,680 = 583,680 : x
  2. Step 2: Convert to fraction form
    272,166/583,680 = 583,680/x
  3. Step 3: Cross multiply
    272,166x = 583,680 × 583,680
  4. Step 4: Simplify right side
    272,166x = 340,682,342,400
  5. Step 5: Solve for x
    x = 340,682,342,400/272,166
  6. Step 6: Final answer
    x = 1,251,744.68

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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.