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Finding the Third Proportional to 1,734.33 and 2,407.64

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Solution

The third proportional to 1,734.33 and 2,407.64 is: 3,342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.33 : 2,407.64 = 2,407.64 : x
  2. Step 2: Convert to fraction form
    1,734.33/2,407.64 = 2,407.64/x
  3. Step 3: Cross multiply
    1,734.33x = 2,407.64 × 2,407.64
  4. Step 4: Simplify right side
    1,734.33x = 5,796,733.38
  5. Step 5: Solve for x
    x = 5,796,733.38/1,734.33
  6. Step 6: Final answer
    x = 3,342.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.