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Finding the Third Proportional to 594,917.58 and 906,318.49

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Solution

The third proportional to 594,917.58 and 906,318.49 is: 1,380,717.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,917.58 : 906,318.49 = 906,318.49 : x
  2. Step 2: Convert to fraction form
    594,917.58/906,318.49 = 906,318.49/x
  3. Step 3: Cross multiply
    594,917.58x = 906,318.49 × 906,318.49
  4. Step 4: Simplify right side
    594,917.58x = 821,413,209,281.02
  5. Step 5: Solve for x
    x = 821,413,209,281.02/594,917.58
  6. Step 6: Final answer
    x = 1,380,717.66

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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.