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Finding the Third Proportional to 419,621.50 and 898,140.50

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Solution

The third proportional to 419,621.50 and 898,140.50 is: 1,922,342.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,621.50 : 898,140.50 = 898,140.50 : x
  2. Step 2: Convert to fraction form
    419,621.50/898,140.50 = 898,140.50/x
  3. Step 3: Cross multiply
    419,621.50x = 898,140.50 × 898,140.50
  4. Step 4: Simplify right side
    419,621.50x = 806,656,357,740.25
  5. Step 5: Solve for x
    x = 806,656,357,740.25/419,621.50
  6. Step 6: Final answer
    x = 1,922,342.77

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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.