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Finding the Third Proportional to 727.95 and 1,113.54

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Solution

The third proportional to 727.95 and 1,113.54 is: 1,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.95 : 1,113.54 = 1,113.54 : x
  2. Step 2: Convert to fraction form
    727.95/1,113.54 = 1,113.54/x
  3. Step 3: Cross multiply
    727.95x = 1,113.54 × 1,113.54
  4. Step 4: Simplify right side
    727.95x = 1,239,969.24
  5. Step 5: Solve for x
    x = 1,239,969.24/727.95
  6. Step 6: Final answer
    x = 1,703.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.