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Finding the Third Proportional to 735.19 and 1,402.31

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Solution

The third proportional to 735.19 and 1,402.31 is: 2,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.19 : 1,402.31 = 1,402.31 : x
  2. Step 2: Convert to fraction form
    735.19/1,402.31 = 1,402.31/x
  3. Step 3: Cross multiply
    735.19x = 1,402.31 × 1,402.31
  4. Step 4: Simplify right side
    735.19x = 1,966,480.35
  5. Step 5: Solve for x
    x = 1,966,480.35/735.19
  6. Step 6: Final answer
    x = 2,674.80

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.