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Finding the Third Proportional to 232,944 and 547,584

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Solution

The third proportional to 232,944 and 547,584 is: 1,287,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,944 : 547,584 = 547,584 : x
  2. Step 2: Convert to fraction form
    232,944/547,584 = 547,584/x
  3. Step 3: Cross multiply
    232,944x = 547,584 × 547,584
  4. Step 4: Simplify right side
    232,944x = 299,848,237,056
  5. Step 5: Solve for x
    x = 299,848,237,056/232,944
  6. Step 6: Final answer
    x = 1,287,211.68

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.