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Finding the Third Proportional to 489,087 and 751,855.50

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Solution

The third proportional to 489,087 and 751,855.50 is: 1,155,799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,087 : 751,855.50 = 751,855.50 : x
  2. Step 2: Convert to fraction form
    489,087/751,855.50 = 751,855.50/x
  3. Step 3: Cross multiply
    489,087x = 751,855.50 × 751,855.50
  4. Step 4: Simplify right side
    489,087x = 565,286,692,880.25
  5. Step 5: Solve for x
    x = 565,286,692,880.25/489,087
  6. Step 6: Final answer
    x = 1,155,799.87

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.