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Finding the Third Proportional to 404,952.75 and 886,180.50

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Solution

The third proportional to 404,952.75 and 886,180.50 is: 1,939,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,952.75 : 886,180.50 = 886,180.50 : x
  2. Step 2: Convert to fraction form
    404,952.75/886,180.50 = 886,180.50/x
  3. Step 3: Cross multiply
    404,952.75x = 886,180.50 × 886,180.50
  4. Step 4: Simplify right side
    404,952.75x = 785,315,878,580.25
  5. Step 5: Solve for x
    x = 785,315,878,580.25/404,952.75
  6. Step 6: Final answer
    x = 1,939,277.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.