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Finding the Third Proportional to 230,381 and 360,620

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Solution

The third proportional to 230,381 and 360,620 is: 564,485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,381 : 360,620 = 360,620 : x
  2. Step 2: Convert to fraction form
    230,381/360,620 = 360,620/x
  3. Step 3: Cross multiply
    230,381x = 360,620 × 360,620
  4. Step 4: Simplify right side
    230,381x = 130,046,784,400
  5. Step 5: Solve for x
    x = 130,046,784,400/230,381
  6. Step 6: Final answer
    x = 564,485.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.