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Finding the Third Proportional to 230,387 and 360,630

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Solution

The third proportional to 230,387 and 360,630 is: 564,502.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,387 : 360,630 = 360,630 : x
  2. Step 2: Convert to fraction form
    230,387/360,630 = 360,630/x
  3. Step 3: Cross multiply
    230,387x = 360,630 × 360,630
  4. Step 4: Simplify right side
    230,387x = 130,053,996,900
  5. Step 5: Solve for x
    x = 130,053,996,900/230,387
  6. Step 6: Final answer
    x = 564,502.32

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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.