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Finding the Third Proportional to 224,328 and 479,784

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Solution

The third proportional to 224,328 and 479,784 is: 1,026,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,328 : 479,784 = 479,784 : x
  2. Step 2: Convert to fraction form
    224,328/479,784 = 479,784/x
  3. Step 3: Cross multiply
    224,328x = 479,784 × 479,784
  4. Step 4: Simplify right side
    224,328x = 230,192,686,656
  5. Step 5: Solve for x
    x = 230,192,686,656/224,328
  6. Step 6: Final answer
    x = 1,026,143.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.