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Finding the Third Proportional to 797.34 and 1,742.77

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Solution

The third proportional to 797.34 and 1,742.77 is: 3,809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.34 : 1,742.77 = 1,742.77 : x
  2. Step 2: Convert to fraction form
    797.34/1,742.77 = 1,742.77/x
  3. Step 3: Cross multiply
    797.34x = 1,742.77 × 1,742.77
  4. Step 4: Simplify right side
    797.34x = 3,037,232.02
  5. Step 5: Solve for x
    x = 3,037,232.02/797.34
  6. Step 6: Final answer
    x = 3,809.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.