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Finding the Third Proportional to 722.81 and 1,152.84

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Solution

The third proportional to 722.81 and 1,152.84 is: 1,838.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.81 : 1,152.84 = 1,152.84 : x
  2. Step 2: Convert to fraction form
    722.81/1,152.84 = 1,152.84/x
  3. Step 3: Cross multiply
    722.81x = 1,152.84 × 1,152.84
  4. Step 4: Simplify right side
    722.81x = 1,329,048.71
  5. Step 5: Solve for x
    x = 1,329,048.71/722.81
  6. Step 6: Final answer
    x = 1,838.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.