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Finding the Third Proportional to 407,038.50 and 859,227.75

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Solution

The third proportional to 407,038.50 and 859,227.75 is: 1,813,765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,038.50 : 859,227.75 = 859,227.75 : x
  2. Step 2: Convert to fraction form
    407,038.50/859,227.75 = 859,227.75/x
  3. Step 3: Cross multiply
    407,038.50x = 859,227.75 × 859,227.75
  4. Step 4: Simplify right side
    407,038.50x = 738,272,326,370.06
  5. Step 5: Solve for x
    x = 738,272,326,370.06/407,038.50
  6. Step 6: Final answer
    x = 1,813,765.35

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.