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Finding the Third Proportional to 594,947.53 and 906,371.02

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Solution

The third proportional to 594,947.53 and 906,371.02 is: 1,380,808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,947.53 : 906,371.02 = 906,371.02 : x
  2. Step 2: Convert to fraction form
    594,947.53/906,371.02 = 906,371.02/x
  3. Step 3: Cross multiply
    594,947.53x = 906,371.02 × 906,371.02
  4. Step 4: Simplify right side
    594,947.53x = 821,508,417,965.09
  5. Step 5: Solve for x
    x = 821,508,417,965.09/594,947.53
  6. Step 6: Final answer
    x = 1,380,808.18

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Why These Related Problems?

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