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Finding the Third Proportional to 476.02 and 1,000.76

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Solution

The third proportional to 476.02 and 1,000.76 is: 2,103.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.02 : 1,000.76 = 1,000.76 : x
  2. Step 2: Convert to fraction form
    476.02/1,000.76 = 1,000.76/x
  3. Step 3: Cross multiply
    476.02x = 1,000.76 × 1,000.76
  4. Step 4: Simplify right side
    476.02x = 1,001,516.20
  5. Step 5: Solve for x
    x = 1,001,516.20/476.02
  6. Step 6: Final answer
    x = 2,103.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.