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Finding the Third Proportional to 722.36 and 1,458.95

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Solution

The third proportional to 722.36 and 1,458.95 is: 2,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.36 : 1,458.95 = 1,458.95 : x
  2. Step 2: Convert to fraction form
    722.36/1,458.95 = 1,458.95/x
  3. Step 3: Cross multiply
    722.36x = 1,458.95 × 1,458.95
  4. Step 4: Simplify right side
    722.36x = 2,128,532.82
  5. Step 5: Solve for x
    x = 2,128,532.82/722.36
  6. Step 6: Final answer
    x = 2,946.66

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.