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Finding the Third Proportional to 437,345.25 and 909,605.75

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Solution

The third proportional to 437,345.25 and 909,605.75 is: 1,891,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,345.25 : 909,605.75 = 909,605.75 : x
  2. Step 2: Convert to fraction form
    437,345.25/909,605.75 = 909,605.75/x
  3. Step 3: Cross multiply
    437,345.25x = 909,605.75 × 909,605.75
  4. Step 4: Simplify right side
    437,345.25x = 827,382,620,433.06
  5. Step 5: Solve for x
    x = 827,382,620,433.06/437,345.25
  6. Step 6: Final answer
    x = 1,891,829.44

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