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Finding the Third Proportional to 510.28 and 1,111.69

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Solution

The third proportional to 510.28 and 1,111.69 is: 2,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.28 : 1,111.69 = 1,111.69 : x
  2. Step 2: Convert to fraction form
    510.28/1,111.69 = 1,111.69/x
  3. Step 3: Cross multiply
    510.28x = 1,111.69 × 1,111.69
  4. Step 4: Simplify right side
    510.28x = 1,235,849.10
  5. Step 5: Solve for x
    x = 1,235,849.10/510.28
  6. Step 6: Final answer
    x = 2,421.90

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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.