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Finding the Third Proportional to 369,180 and 801,382.50

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Solution

The third proportional to 369,180 and 801,382.50 is: 1,739,568.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,180 : 801,382.50 = 801,382.50 : x
  2. Step 2: Convert to fraction form
    369,180/801,382.50 = 801,382.50/x
  3. Step 3: Cross multiply
    369,180x = 801,382.50 × 801,382.50
  4. Step 4: Simplify right side
    369,180x = 642,213,911,306.25
  5. Step 5: Solve for x
    x = 642,213,911,306.25/369,180
  6. Step 6: Final answer
    x = 1,739,568.53

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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.