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Finding the Third Proportional to 224,357 and 474,039

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Solution

The third proportional to 224,357 and 474,039 is: 1,001,586.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,357 : 474,039 = 474,039 : x
  2. Step 2: Convert to fraction form
    224,357/474,039 = 474,039/x
  3. Step 3: Cross multiply
    224,357x = 474,039 × 474,039
  4. Step 4: Simplify right side
    224,357x = 224,712,973,521
  5. Step 5: Solve for x
    x = 224,712,973,521/224,357
  6. Step 6: Final answer
    x = 1,001,586.64

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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.