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Finding the Third Proportional to 400,087 and 619,084.50

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Solution

The third proportional to 400,087 and 619,084.50 is: 957,955.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,087 : 619,084.50 = 619,084.50 : x
  2. Step 2: Convert to fraction form
    400,087/619,084.50 = 619,084.50/x
  3. Step 3: Cross multiply
    400,087x = 619,084.50 × 619,084.50
  4. Step 4: Simplify right side
    400,087x = 383,265,618,140.25
  5. Step 5: Solve for x
    x = 383,265,618,140.25/400,087
  6. Step 6: Final answer
    x = 957,955.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.