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Finding the Third Proportional to 246,577 and 371,282

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Solution

The third proportional to 246,577 and 371,282 is: 559,055.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,577 : 371,282 = 371,282 : x
  2. Step 2: Convert to fraction form
    246,577/371,282 = 371,282/x
  3. Step 3: Cross multiply
    246,577x = 371,282 × 371,282
  4. Step 4: Simplify right side
    246,577x = 137,850,323,524
  5. Step 5: Solve for x
    x = 137,850,323,524/246,577
  6. Step 6: Final answer
    x = 559,055.89

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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.