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Finding the Third Proportional to 230,329 and 498,387

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Solution

The third proportional to 230,329 and 498,387 is: 1,078,412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,329 : 498,387 = 498,387 : x
  2. Step 2: Convert to fraction form
    230,329/498,387 = 498,387/x
  3. Step 3: Cross multiply
    230,329x = 498,387 × 498,387
  4. Step 4: Simplify right side
    230,329x = 248,389,601,769
  5. Step 5: Solve for x
    x = 248,389,601,769/230,329
  6. Step 6: Final answer
    x = 1,078,412.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.