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Finding the Third Proportional to 272,186 and 583,720

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Solution

The third proportional to 272,186 and 583,720 is: 1,251,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,186 : 583,720 = 583,720 : x
  2. Step 2: Convert to fraction form
    272,186/583,720 = 583,720/x
  3. Step 3: Cross multiply
    272,186x = 583,720 × 583,720
  4. Step 4: Simplify right side
    272,186x = 340,729,038,400
  5. Step 5: Solve for x
    x = 340,729,038,400/272,186
  6. Step 6: Final answer
    x = 1,251,824.26

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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.