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Finding the Third Proportional to 426,187.13 and 647,056.69

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Solution

The third proportional to 426,187.13 and 647,056.69 is: 982,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,187.13 : 647,056.69 = 647,056.69 : x
  2. Step 2: Convert to fraction form
    426,187.13/647,056.69 = 647,056.69/x
  3. Step 3: Cross multiply
    426,187.13x = 647,056.69 × 647,056.69
  4. Step 4: Simplify right side
    426,187.13x = 418,682,356,838.47
  5. Step 5: Solve for x
    x = 418,682,356,838.47/426,187.13
  6. Step 6: Final answer
    x = 982,390.91

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.