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Finding the Third Proportional to 441,784.13 and 680,050.69

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Solution

The third proportional to 441,784.13 and 680,050.69 is: 1,046,821.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,784.13 : 680,050.69 = 680,050.69 : x
  2. Step 2: Convert to fraction form
    441,784.13/680,050.69 = 680,050.69/x
  3. Step 3: Cross multiply
    441,784.13x = 680,050.69 × 680,050.69
  4. Step 4: Simplify right side
    441,784.13x = 462,468,937,569.22
  5. Step 5: Solve for x
    x = 462,468,937,569.22/441,784.13
  6. Step 6: Final answer
    x = 1,046,821.09

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.