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Finding the Third Proportional to 707.27 and 924.12

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Solution

The third proportional to 707.27 and 924.12 is: 1,207.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.27 : 924.12 = 924.12 : x
  2. Step 2: Convert to fraction form
    707.27/924.12 = 924.12/x
  3. Step 3: Cross multiply
    707.27x = 924.12 × 924.12
  4. Step 4: Simplify right side
    707.27x = 853,992.58
  5. Step 5: Solve for x
    x = 853,992.58/707.27
  6. Step 6: Final answer
    x = 1,207.44

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.