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Finding the Third Proportional to 461.69 and 1,000.56

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Solution

The third proportional to 461.69 and 1,000.56 is: 2,168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.69 : 1,000.56 = 1,000.56 : x
  2. Step 2: Convert to fraction form
    461.69/1,000.56 = 1,000.56/x
  3. Step 3: Cross multiply
    461.69x = 1,000.56 × 1,000.56
  4. Step 4: Simplify right side
    461.69x = 1,001,125.32
  5. Step 5: Solve for x
    x = 1,001,125.32/461.69
  6. Step 6: Final answer
    x = 2,168.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.