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Finding the Third Proportional to 224,040 and 474,309

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Solution

The third proportional to 224,040 and 474,309 is: 1,004,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,040 : 474,309 = 474,309 : x
  2. Step 2: Convert to fraction form
    224,040/474,309 = 474,309/x
  3. Step 3: Cross multiply
    224,040x = 474,309 × 474,309
  4. Step 4: Simplify right side
    224,040x = 224,969,027,481
  5. Step 5: Solve for x
    x = 224,969,027,481/224,040
  6. Step 6: Final answer
    x = 1,004,146.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.