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Finding the Third Proportional to 794.50 and 1,710.02

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Solution

The third proportional to 794.50 and 1,710.02 is: 3,680.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.50 : 1,710.02 = 1,710.02 : x
  2. Step 2: Convert to fraction form
    794.50/1,710.02 = 1,710.02/x
  3. Step 3: Cross multiply
    794.50x = 1,710.02 × 1,710.02
  4. Step 4: Simplify right side
    794.50x = 2,924,160.12
  5. Step 5: Solve for x
    x = 2,924,160.12/794.50
  6. Step 6: Final answer
    x = 3,680.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.