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Finding the Third Proportional to 332,643 and 801,979.50

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Solution

The third proportional to 332,643 and 801,979.50 is: 1,933,517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,643 : 801,979.50 = 801,979.50 : x
  2. Step 2: Convert to fraction form
    332,643/801,979.50 = 801,979.50/x
  3. Step 3: Cross multiply
    332,643x = 801,979.50 × 801,979.50
  4. Step 4: Simplify right side
    332,643x = 643,171,118,420.25
  5. Step 5: Solve for x
    x = 643,171,118,420.25/332,643
  6. Step 6: Final answer
    x = 1,933,517.67

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.