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Finding the Third Proportional to 224,832 and 487,014

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Solution

The third proportional to 224,832 and 487,014 is: 1,054,932.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,832 : 487,014 = 487,014 : x
  2. Step 2: Convert to fraction form
    224,832/487,014 = 487,014/x
  3. Step 3: Cross multiply
    224,832x = 487,014 × 487,014
  4. Step 4: Simplify right side
    224,832x = 237,182,636,196
  5. Step 5: Solve for x
    x = 237,182,636,196/224,832
  6. Step 6: Final answer
    x = 1,054,932.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.