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Finding the Third Proportional to 378,780.75 and 841,641.75

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Solution

The third proportional to 378,780.75 and 841,641.75 is: 1,870,107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,780.75 : 841,641.75 = 841,641.75 : x
  2. Step 2: Convert to fraction form
    378,780.75/841,641.75 = 841,641.75/x
  3. Step 3: Cross multiply
    378,780.75x = 841,641.75 × 841,641.75
  4. Step 4: Simplify right side
    378,780.75x = 708,360,835,343.06
  5. Step 5: Solve for x
    x = 708,360,835,343.06/378,780.75
  6. Step 6: Final answer
    x = 1,870,107.80

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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.