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Finding the Third Proportional to 408,784.50 and 879,723

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Solution

The third proportional to 408,784.50 and 879,723 is: 1,893,204.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,784.50 : 879,723 = 879,723 : x
  2. Step 2: Convert to fraction form
    408,784.50/879,723 = 879,723/x
  3. Step 3: Cross multiply
    408,784.50x = 879,723 × 879,723
  4. Step 4: Simplify right side
    408,784.50x = 773,912,556,729
  5. Step 5: Solve for x
    x = 773,912,556,729/408,784.50
  6. Step 6: Final answer
    x = 1,893,204.26

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