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Finding the Third Proportional to 594,960.19 and 906,386.73

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Solution

The third proportional to 594,960.19 and 906,386.73 is: 1,380,826.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,960.19 : 906,386.73 = 906,386.73 : x
  2. Step 2: Convert to fraction form
    594,960.19/906,386.73 = 906,386.73/x
  3. Step 3: Cross multiply
    594,960.19x = 906,386.73 × 906,386.73
  4. Step 4: Simplify right side
    594,960.19x = 821,536,905,169.83
  5. Step 5: Solve for x
    x = 821,536,905,169.83/594,960.19
  6. Step 6: Final answer
    x = 1,380,826.69

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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.