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Finding the Third Proportional to 734.16 and 1,043.86

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Solution

The third proportional to 734.16 and 1,043.86 is: 1,484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.16 : 1,043.86 = 1,043.86 : x
  2. Step 2: Convert to fraction form
    734.16/1,043.86 = 1,043.86/x
  3. Step 3: Cross multiply
    734.16x = 1,043.86 × 1,043.86
  4. Step 4: Simplify right side
    734.16x = 1,089,642.39
  5. Step 5: Solve for x
    x = 1,089,642.39/734.16
  6. Step 6: Final answer
    x = 1,484.21

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.