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Finding the Third Proportional to 456.57 and 1,000.48

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Solution

The third proportional to 456.57 and 1,000.48 is: 2,192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.57 : 1,000.48 = 1,000.48 : x
  2. Step 2: Convert to fraction form
    456.57/1,000.48 = 1,000.48/x
  3. Step 3: Cross multiply
    456.57x = 1,000.48 × 1,000.48
  4. Step 4: Simplify right side
    456.57x = 1,000,953.35
  5. Step 5: Solve for x
    x = 1,000,953.35/456.57
  6. Step 6: Final answer
    x = 2,192.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.