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Finding the Third Proportional to 272,662 and 583,231

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Solution

The third proportional to 272,662 and 583,231 is: 1,247,546.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,662 : 583,231 = 583,231 : x
  2. Step 2: Convert to fraction form
    272,662/583,231 = 583,231/x
  3. Step 3: Cross multiply
    272,662x = 583,231 × 583,231
  4. Step 4: Simplify right side
    272,662x = 340,158,399,361
  5. Step 5: Solve for x
    x = 340,158,399,361/272,662
  6. Step 6: Final answer
    x = 1,247,546.04

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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.