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Finding the Third Proportional to 292.69 and 630.94

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Solution

The third proportional to 292.69 and 630.94 is: 1,360.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.69 : 630.94 = 630.94 : x
  2. Step 2: Convert to fraction form
    292.69/630.94 = 630.94/x
  3. Step 3: Cross multiply
    292.69x = 630.94 × 630.94
  4. Step 4: Simplify right side
    292.69x = 398,082.13
  5. Step 5: Solve for x
    x = 398,082.13/292.69
  6. Step 6: Final answer
    x = 1,360.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.