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Finding the Third Proportional to 740.03 and 1,153.30

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Solution

The third proportional to 740.03 and 1,153.30 is: 1,797.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.03 : 1,153.30 = 1,153.30 : x
  2. Step 2: Convert to fraction form
    740.03/1,153.30 = 1,153.30/x
  3. Step 3: Cross multiply
    740.03x = 1,153.30 × 1,153.30
  4. Step 4: Simplify right side
    740.03x = 1,330,102.69
  5. Step 5: Solve for x
    x = 1,330,102.69/740.03
  6. Step 6: Final answer
    x = 1,797.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.