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Finding the Third Proportional to 510.47 and 1,101.94

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Solution

The third proportional to 510.47 and 1,101.94 is: 2,378.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.47 : 1,101.94 = 1,101.94 : x
  2. Step 2: Convert to fraction form
    510.47/1,101.94 = 1,101.94/x
  3. Step 3: Cross multiply
    510.47x = 1,101.94 × 1,101.94
  4. Step 4: Simplify right side
    510.47x = 1,214,266.25
  5. Step 5: Solve for x
    x = 1,214,266.25/510.47
  6. Step 6: Final answer
    x = 2,378.73

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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.