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Finding the Third Proportional to 292.75 and 598.75

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Solution

The third proportional to 292.75 and 598.75 is: 1,224.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.75 : 598.75 = 598.75 : x
  2. Step 2: Convert to fraction form
    292.75/598.75 = 598.75/x
  3. Step 3: Cross multiply
    292.75x = 598.75 × 598.75
  4. Step 4: Simplify right side
    292.75x = 358,501.56
  5. Step 5: Solve for x
    x = 358,501.56/292.75
  6. Step 6: Final answer
    x = 1,224.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.