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Finding the Third Proportional to 246,324 and 370,579

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Solution

The third proportional to 246,324 and 370,579 is: 557,512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,324 : 370,579 = 370,579 : x
  2. Step 2: Convert to fraction form
    246,324/370,579 = 370,579/x
  3. Step 3: Cross multiply
    246,324x = 370,579 × 370,579
  4. Step 4: Simplify right side
    246,324x = 137,328,795,241
  5. Step 5: Solve for x
    x = 137,328,795,241/246,324
  6. Step 6: Final answer
    x = 557,512.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.