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Finding the Third Proportional to 333.49 and 710.65

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Solution

The third proportional to 333.49 and 710.65 is: 1,514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.49 : 710.65 = 710.65 : x
  2. Step 2: Convert to fraction form
    333.49/710.65 = 710.65/x
  3. Step 3: Cross multiply
    333.49x = 710.65 × 710.65
  4. Step 4: Simplify right side
    333.49x = 505,021.20
  5. Step 5: Solve for x
    x = 505,021.20/333.49
  6. Step 6: Final answer
    x = 1,514.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.