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Finding the Third Proportional to 812.50 and 1,740.50

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Solution

The third proportional to 812.50 and 1,740.50 is: 3,728.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.50 : 1,740.50 = 1,740.50 : x
  2. Step 2: Convert to fraction form
    812.50/1,740.50 = 1,740.50/x
  3. Step 3: Cross multiply
    812.50x = 1,740.50 × 1,740.50
  4. Step 4: Simplify right side
    812.50x = 3,029,340.25
  5. Step 5: Solve for x
    x = 3,029,340.25/812.50
  6. Step 6: Final answer
    x = 3,728.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.