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Finding the Third Proportional to 700.13 and 947.63

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Solution

The third proportional to 700.13 and 947.63 is: 1,282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.13 : 947.63 = 947.63 : x
  2. Step 2: Convert to fraction form
    700.13/947.63 = 947.63/x
  3. Step 3: Cross multiply
    700.13x = 947.63 × 947.63
  4. Step 4: Simplify right side
    700.13x = 897,993.14
  5. Step 5: Solve for x
    x = 897,993.14/700.13
  6. Step 6: Final answer
    x = 1,282.62

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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.