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Finding the Third Proportional to 720.19 and 1,094.53

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Solution

The third proportional to 720.19 and 1,094.53 is: 1,663.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.19 : 1,094.53 = 1,094.53 : x
  2. Step 2: Convert to fraction form
    720.19/1,094.53 = 1,094.53/x
  3. Step 3: Cross multiply
    720.19x = 1,094.53 × 1,094.53
  4. Step 4: Simplify right side
    720.19x = 1,197,998.66
  5. Step 5: Solve for x
    x = 1,197,998.66/720.19
  6. Step 6: Final answer
    x = 1,663.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.