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Finding the Third Proportional to 498.75 and 1,173.75

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Solution

The third proportional to 498.75 and 1,173.75 is: 2,762.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.75 : 1,173.75 = 1,173.75 : x
  2. Step 2: Convert to fraction form
    498.75/1,173.75 = 1,173.75/x
  3. Step 3: Cross multiply
    498.75x = 1,173.75 × 1,173.75
  4. Step 4: Simplify right side
    498.75x = 1,377,689.06
  5. Step 5: Solve for x
    x = 1,377,689.06/498.75
  6. Step 6: Final answer
    x = 2,762.28

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.