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Finding the Third Proportional to 246,776 and 371,988

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Solution

The third proportional to 246,776 and 371,988 is: 560,731.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,776 : 371,988 = 371,988 : x
  2. Step 2: Convert to fraction form
    246,776/371,988 = 371,988/x
  3. Step 3: Cross multiply
    246,776x = 371,988 × 371,988
  4. Step 4: Simplify right side
    246,776x = 138,375,072,144
  5. Step 5: Solve for x
    x = 138,375,072,144/246,776
  6. Step 6: Final answer
    x = 560,731.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.