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Finding the Third Proportional to 443,967.75 and 962,779.50

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Solution

The third proportional to 443,967.75 and 962,779.50 is: 2,087,864.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,967.75 : 962,779.50 = 962,779.50 : x
  2. Step 2: Convert to fraction form
    443,967.75/962,779.50 = 962,779.50/x
  3. Step 3: Cross multiply
    443,967.75x = 962,779.50 × 962,779.50
  4. Step 4: Simplify right side
    443,967.75x = 926,944,365,620.25
  5. Step 5: Solve for x
    x = 926,944,365,620.25/443,967.75
  6. Step 6: Final answer
    x = 2,087,864.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.