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Finding the Third Proportional to 224,235 and 477,540

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Solution

The third proportional to 224,235 and 477,540 is: 1,016,988.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,235 : 477,540 = 477,540 : x
  2. Step 2: Convert to fraction form
    224,235/477,540 = 477,540/x
  3. Step 3: Cross multiply
    224,235x = 477,540 × 477,540
  4. Step 4: Simplify right side
    224,235x = 228,044,451,600
  5. Step 5: Solve for x
    x = 228,044,451,600/224,235
  6. Step 6: Final answer
    x = 1,016,988.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.