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Finding the Third Proportional to 272,674 and 583,256

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Solution

The third proportional to 272,674 and 583,256 is: 1,247,598.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,674 : 583,256 = 583,256 : x
  2. Step 2: Convert to fraction form
    272,674/583,256 = 583,256/x
  3. Step 3: Cross multiply
    272,674x = 583,256 × 583,256
  4. Step 4: Simplify right side
    272,674x = 340,187,561,536
  5. Step 5: Solve for x
    x = 340,187,561,536/272,674
  6. Step 6: Final answer
    x = 1,247,598.09

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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.