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Finding the Third Proportional to 380,733.50 and 846,570.50

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Solution

The third proportional to 380,733.50 and 846,570.50 is: 1,882,370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,733.50 : 846,570.50 = 846,570.50 : x
  2. Step 2: Convert to fraction form
    380,733.50/846,570.50 = 846,570.50/x
  3. Step 3: Cross multiply
    380,733.50x = 846,570.50 × 846,570.50
  4. Step 4: Simplify right side
    380,733.50x = 716,681,611,470.25
  5. Step 5: Solve for x
    x = 716,681,611,470.25/380,733.50
  6. Step 6: Final answer
    x = 1,882,370.77

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.