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Finding the Third Proportional to 230,382 and 360,622

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Solution

The third proportional to 230,382 and 360,622 is: 564,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,382 : 360,622 = 360,622 : x
  2. Step 2: Convert to fraction form
    230,382/360,622 = 360,622/x
  3. Step 3: Cross multiply
    230,382x = 360,622 × 360,622
  4. Step 4: Simplify right side
    230,382x = 130,048,226,884
  5. Step 5: Solve for x
    x = 130,048,226,884/230,382
  6. Step 6: Final answer
    x = 564,489.53

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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.