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Finding the Third Proportional to 441,774.75 and 960,877.50

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Solution

The third proportional to 441,774.75 and 960,877.50 is: 2,089,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,774.75 : 960,877.50 = 960,877.50 : x
  2. Step 2: Convert to fraction form
    441,774.75/960,877.50 = 960,877.50/x
  3. Step 3: Cross multiply
    441,774.75x = 960,877.50 × 960,877.50
  4. Step 4: Simplify right side
    441,774.75x = 923,285,570,006.25
  5. Step 5: Solve for x
    x = 923,285,570,006.25/441,774.75
  6. Step 6: Final answer
    x = 2,089,946.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.