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Finding the Third Proportional to 272,172 and 583,692

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Solution

The third proportional to 272,172 and 583,692 is: 1,251,768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,172 : 583,692 = 583,692 : x
  2. Step 2: Convert to fraction form
    272,172/583,692 = 583,692/x
  3. Step 3: Cross multiply
    272,172x = 583,692 × 583,692
  4. Step 4: Simplify right side
    272,172x = 340,696,350,864
  5. Step 5: Solve for x
    x = 340,696,350,864/272,172
  6. Step 6: Final answer
    x = 1,251,768.55

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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.