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Finding the Third Proportional to 399,498.75 and 858,289.50

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Solution

The third proportional to 399,498.75 and 858,289.50 is: 1,843,962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,498.75 : 858,289.50 = 858,289.50 : x
  2. Step 2: Convert to fraction form
    399,498.75/858,289.50 = 858,289.50/x
  3. Step 3: Cross multiply
    399,498.75x = 858,289.50 × 858,289.50
  4. Step 4: Simplify right side
    399,498.75x = 736,660,865,810.25
  5. Step 5: Solve for x
    x = 736,660,865,810.25/399,498.75
  6. Step 6: Final answer
    x = 1,843,962.88

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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.