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Finding the Third Proportional to 440,170.50 and 914,779.50

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Solution

The third proportional to 440,170.50 and 914,779.50 is: 1,901,130.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,170.50 : 914,779.50 = 914,779.50 : x
  2. Step 2: Convert to fraction form
    440,170.50/914,779.50 = 914,779.50/x
  3. Step 3: Cross multiply
    440,170.50x = 914,779.50 × 914,779.50
  4. Step 4: Simplify right side
    440,170.50x = 836,821,533,620.25
  5. Step 5: Solve for x
    x = 836,821,533,620.25/440,170.50
  6. Step 6: Final answer
    x = 1,901,130.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.