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Finding the Third Proportional to 224,354.50 and 474,035

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Solution

The third proportional to 224,354.50 and 474,035 is: 1,001,580.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,354.50 : 474,035 = 474,035 : x
  2. Step 2: Convert to fraction form
    224,354.50/474,035 = 474,035/x
  3. Step 3: Cross multiply
    224,354.50x = 474,035 × 474,035
  4. Step 4: Simplify right side
    224,354.50x = 224,709,181,225
  5. Step 5: Solve for x
    x = 224,709,181,225/224,354.50
  6. Step 6: Final answer
    x = 1,001,580.90

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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.