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Finding the Third Proportional to 684.47 and 1,032.66

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Solution

The third proportional to 684.47 and 1,032.66 is: 1,557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.47 : 1,032.66 = 1,032.66 : x
  2. Step 2: Convert to fraction form
    684.47/1,032.66 = 1,032.66/x
  3. Step 3: Cross multiply
    684.47x = 1,032.66 × 1,032.66
  4. Step 4: Simplify right side
    684.47x = 1,066,378.93
  5. Step 5: Solve for x
    x = 1,066,378.93/684.47
  6. Step 6: Final answer
    x = 1,557.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.