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Finding the Third Proportional to 407,190 and 877,489.50

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Solution

The third proportional to 407,190 and 877,489.50 is: 1,890,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,190 : 877,489.50 = 877,489.50 : x
  2. Step 2: Convert to fraction form
    407,190/877,489.50 = 877,489.50/x
  3. Step 3: Cross multiply
    407,190x = 877,489.50 × 877,489.50
  4. Step 4: Simplify right side
    407,190x = 769,987,822,610.25
  5. Step 5: Solve for x
    x = 769,987,822,610.25/407,190
  6. Step 6: Final answer
    x = 1,890,979.21

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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.