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Finding the Third Proportional to 232,964 and 547,634

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Solution

The third proportional to 232,964 and 547,634 is: 1,287,336.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,964 : 547,634 = 547,634 : x
  2. Step 2: Convert to fraction form
    232,964/547,634 = 547,634/x
  3. Step 3: Cross multiply
    232,964x = 547,634 × 547,634
  4. Step 4: Simplify right side
    232,964x = 299,902,997,956
  5. Step 5: Solve for x
    x = 299,902,997,956/232,964
  6. Step 6: Final answer
    x = 1,287,336.23

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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.