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Finding the Third Proportional to 400,084.50 and 872,065.50

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Solution

The third proportional to 400,084.50 and 872,065.50 is: 1,900,844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,084.50 : 872,065.50 = 872,065.50 : x
  2. Step 2: Convert to fraction form
    400,084.50/872,065.50 = 872,065.50/x
  3. Step 3: Cross multiply
    400,084.50x = 872,065.50 × 872,065.50
  4. Step 4: Simplify right side
    400,084.50x = 760,498,236,290.25
  5. Step 5: Solve for x
    x = 760,498,236,290.25/400,084.50
  6. Step 6: Final answer
    x = 1,900,844.04

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.