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Finding the Third Proportional to 224,351 and 474,028

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Solution

The third proportional to 224,351 and 474,028 is: 1,001,566.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,351 : 474,028 = 474,028 : x
  2. Step 2: Convert to fraction form
    224,351/474,028 = 474,028/x
  3. Step 3: Cross multiply
    224,351x = 474,028 × 474,028
  4. Step 4: Simplify right side
    224,351x = 224,702,544,784
  5. Step 5: Solve for x
    x = 224,702,544,784/224,351
  6. Step 6: Final answer
    x = 1,001,566.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.