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Finding the Third Proportional to 370,039.50 and 806,899.50

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Solution

The third proportional to 370,039.50 and 806,899.50 is: 1,759,506.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,039.50 : 806,899.50 = 806,899.50 : x
  2. Step 2: Convert to fraction form
    370,039.50/806,899.50 = 806,899.50/x
  3. Step 3: Cross multiply
    370,039.50x = 806,899.50 × 806,899.50
  4. Step 4: Simplify right side
    370,039.50x = 651,086,803,100.25
  5. Step 5: Solve for x
    x = 651,086,803,100.25/370,039.50
  6. Step 6: Final answer
    x = 1,759,506.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.