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Finding the Third Proportional to 272,758 and 583,424

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Solution

The third proportional to 272,758 and 583,424 is: 1,247,932.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,758 : 583,424 = 583,424 : x
  2. Step 2: Convert to fraction form
    272,758/583,424 = 583,424/x
  3. Step 3: Cross multiply
    272,758x = 583,424 × 583,424
  4. Step 4: Simplify right side
    272,758x = 340,383,563,776
  5. Step 5: Solve for x
    x = 340,383,563,776/272,758
  6. Step 6: Final answer
    x = 1,247,932.47

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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.