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Finding the Third Proportional to 379,807.50 and 832,081.50

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Solution

The third proportional to 379,807.50 and 832,081.50 is: 1,822,922.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,807.50 : 832,081.50 = 832,081.50 : x
  2. Step 2: Convert to fraction form
    379,807.50/832,081.50 = 832,081.50/x
  3. Step 3: Cross multiply
    379,807.50x = 832,081.50 × 832,081.50
  4. Step 4: Simplify right side
    379,807.50x = 692,359,622,642.25
  5. Step 5: Solve for x
    x = 692,359,622,642.25/379,807.50
  6. Step 6: Final answer
    x = 1,822,922.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.