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Finding the Third Proportional to 230,334 and 498,395

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Solution

The third proportional to 230,334 and 498,395 is: 1,078,423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,334 : 498,395 = 498,395 : x
  2. Step 2: Convert to fraction form
    230,334/498,395 = 498,395/x
  3. Step 3: Cross multiply
    230,334x = 498,395 × 498,395
  4. Step 4: Simplify right side
    230,334x = 248,397,576,025
  5. Step 5: Solve for x
    x = 248,397,576,025/230,334
  6. Step 6: Final answer
    x = 1,078,423.40

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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.