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Finding the Third Proportional to 404,050 and 883,824.50

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Solution

The third proportional to 404,050 and 883,824.50 is: 1,933,289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,050 : 883,824.50 = 883,824.50 : x
  2. Step 2: Convert to fraction form
    404,050/883,824.50 = 883,824.50/x
  3. Step 3: Cross multiply
    404,050x = 883,824.50 × 883,824.50
  4. Step 4: Simplify right side
    404,050x = 781,145,746,800.25
  5. Step 5: Solve for x
    x = 781,145,746,800.25/404,050
  6. Step 6: Final answer
    x = 1,933,289.81

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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.