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Finding the Third Proportional to 703.69 and 807.47

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Solution

The third proportional to 703.69 and 807.47 is: 926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.69 : 807.47 = 807.47 : x
  2. Step 2: Convert to fraction form
    703.69/807.47 = 807.47/x
  3. Step 3: Cross multiply
    703.69x = 807.47 × 807.47
  4. Step 4: Simplify right side
    703.69x = 652,005.78
  5. Step 5: Solve for x
    x = 652,005.78/703.69
  6. Step 6: Final answer
    x = 926.56

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.