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Finding the Third Proportional to 510.68 and 1,114.17

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Solution

The third proportional to 510.68 and 1,114.17 is: 2,430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.68 : 1,114.17 = 1,114.17 : x
  2. Step 2: Convert to fraction form
    510.68/1,114.17 = 1,114.17/x
  3. Step 3: Cross multiply
    510.68x = 1,114.17 × 1,114.17
  4. Step 4: Simplify right side
    510.68x = 1,241,378.97
  5. Step 5: Solve for x
    x = 1,241,378.97/510.68
  6. Step 6: Final answer
    x = 2,430.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.