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Finding the Third Proportional to 332.23 and 710.02

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Solution

The third proportional to 332.23 and 710.02 is: 1,517.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.23 : 710.02 = 710.02 : x
  2. Step 2: Convert to fraction form
    332.23/710.02 = 710.02/x
  3. Step 3: Cross multiply
    332.23x = 710.02 × 710.02
  4. Step 4: Simplify right side
    332.23x = 504,122.19
  5. Step 5: Solve for x
    x = 504,122.19/332.23
  6. Step 6: Final answer
    x = 1,517.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.