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Finding the Third Proportional to 246,774 and 371,985

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Solution

The third proportional to 246,774 and 371,985 is: 560,726.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,774 : 371,985 = 371,985 : x
  2. Step 2: Convert to fraction form
    246,774/371,985 = 371,985/x
  3. Step 3: Cross multiply
    246,774x = 371,985 × 371,985
  4. Step 4: Simplify right side
    246,774x = 138,372,840,225
  5. Step 5: Solve for x
    x = 138,372,840,225/246,774
  6. Step 6: Final answer
    x = 560,726.98

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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.