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Finding the Third Proportional to 469,050.75 and 914,773.50

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Solution

The third proportional to 469,050.75 and 914,773.50 is: 1,784,051.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,050.75 : 914,773.50 = 914,773.50 : x
  2. Step 2: Convert to fraction form
    469,050.75/914,773.50 = 914,773.50/x
  3. Step 3: Cross multiply
    469,050.75x = 914,773.50 × 914,773.50
  4. Step 4: Simplify right side
    469,050.75x = 836,810,556,302.25
  5. Step 5: Solve for x
    x = 836,810,556,302.25/469,050.75
  6. Step 6: Final answer
    x = 1,784,051.21

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.