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Finding the Third Proportional to 720.18 and 973.02

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Solution

The third proportional to 720.18 and 973.02 is: 1,314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.18 : 973.02 = 973.02 : x
  2. Step 2: Convert to fraction form
    720.18/973.02 = 973.02/x
  3. Step 3: Cross multiply
    720.18x = 973.02 × 973.02
  4. Step 4: Simplify right side
    720.18x = 946,758.46
  5. Step 5: Solve for x
    x = 946,758.46/720.18
  6. Step 6: Final answer
    x = 1,314.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.