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Finding the Third Proportional to 708.81 and 1,453.63

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Solution

The third proportional to 708.81 and 1,453.63 is: 2,981.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.81 : 1,453.63 = 1,453.63 : x
  2. Step 2: Convert to fraction form
    708.81/1,453.63 = 1,453.63/x
  3. Step 3: Cross multiply
    708.81x = 1,453.63 × 1,453.63
  4. Step 4: Simplify right side
    708.81x = 2,113,025.64
  5. Step 5: Solve for x
    x = 2,113,025.64/708.81
  6. Step 6: Final answer
    x = 2,981.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.