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Finding the Third Proportional to 438,259.50 and 944,025.75

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Solution

The third proportional to 438,259.50 and 944,025.75 is: 2,033,463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,259.50 : 944,025.75 = 944,025.75 : x
  2. Step 2: Convert to fraction form
    438,259.50/944,025.75 = 944,025.75/x
  3. Step 3: Cross multiply
    438,259.50x = 944,025.75 × 944,025.75
  4. Step 4: Simplify right side
    438,259.50x = 891,184,616,663.06
  5. Step 5: Solve for x
    x = 891,184,616,663.06/438,259.50
  6. Step 6: Final answer
    x = 2,033,463.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.