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Finding the Third Proportional to 630.75 and 842.38

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Solution

The third proportional to 630.75 and 842.38 is: 1,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.75 : 842.38 = 842.38 : x
  2. Step 2: Convert to fraction form
    630.75/842.38 = 842.38/x
  3. Step 3: Cross multiply
    630.75x = 842.38 × 842.38
  4. Step 4: Simplify right side
    630.75x = 709,595.64
  5. Step 5: Solve for x
    x = 709,595.64/630.75
  6. Step 6: Final answer
    x = 1,125.00

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.