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Finding the Third Proportional to 272,694 and 583,292

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Solution

The third proportional to 272,694 and 583,292 is: 1,247,660.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,694 : 583,292 = 583,292 : x
  2. Step 2: Convert to fraction form
    272,694/583,292 = 583,292/x
  3. Step 3: Cross multiply
    272,694x = 583,292 × 583,292
  4. Step 4: Simplify right side
    272,694x = 340,229,557,264
  5. Step 5: Solve for x
    x = 340,229,557,264/272,694
  6. Step 6: Final answer
    x = 1,247,660.59

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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.