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Finding the Third Proportional to 232,722 and 496,548

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Solution

The third proportional to 232,722 and 496,548 is: 1,059,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,722 : 496,548 = 496,548 : x
  2. Step 2: Convert to fraction form
    232,722/496,548 = 496,548/x
  3. Step 3: Cross multiply
    232,722x = 496,548 × 496,548
  4. Step 4: Simplify right side
    232,722x = 246,559,916,304
  5. Step 5: Solve for x
    x = 246,559,916,304/232,722
  6. Step 6: Final answer
    x = 1,059,461.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.