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Finding the Third Proportional to 417,190.50 and 897,277.50

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Solution

The third proportional to 417,190.50 and 897,277.50 is: 1,929,830.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,190.50 : 897,277.50 = 897,277.50 : x
  2. Step 2: Convert to fraction form
    417,190.50/897,277.50 = 897,277.50/x
  3. Step 3: Cross multiply
    417,190.50x = 897,277.50 × 897,277.50
  4. Step 4: Simplify right side
    417,190.50x = 805,106,912,006.25
  5. Step 5: Solve for x
    x = 805,106,912,006.25/417,190.50
  6. Step 6: Final answer
    x = 1,929,830.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.