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Finding the Third Proportional to 652.83 and 1,370.43

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Solution

The third proportional to 652.83 and 1,370.43 is: 2,876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.83 : 1,370.43 = 1,370.43 : x
  2. Step 2: Convert to fraction form
    652.83/1,370.43 = 1,370.43/x
  3. Step 3: Cross multiply
    652.83x = 1,370.43 × 1,370.43
  4. Step 4: Simplify right side
    652.83x = 1,878,090.91
  5. Step 5: Solve for x
    x = 1,878,090.91/652.83
  6. Step 6: Final answer
    x = 2,876.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.