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Finding the Third Proportional to 246,432 and 371,400

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Solution

The third proportional to 246,432 and 371,400 is: 559,740.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,432 : 371,400 = 371,400 : x
  2. Step 2: Convert to fraction form
    246,432/371,400 = 371,400/x
  3. Step 3: Cross multiply
    246,432x = 371,400 × 371,400
  4. Step 4: Simplify right side
    246,432x = 137,937,960,000
  5. Step 5: Solve for x
    x = 137,937,960,000/246,432
  6. Step 6: Final answer
    x = 559,740.46

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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.