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Finding the Third Proportional to 594,948.94 and 906,373.13

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Solution

The third proportional to 594,948.94 and 906,373.13 is: 1,380,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,948.94 : 906,373.13 = 906,373.13 : x
  2. Step 2: Convert to fraction form
    594,948.94/906,373.13 = 906,373.13/x
  3. Step 3: Cross multiply
    594,948.94x = 906,373.13 × 906,373.13
  4. Step 4: Simplify right side
    594,948.94x = 821,512,241,722.27
  5. Step 5: Solve for x
    x = 821,512,241,722.27/594,948.94
  6. Step 6: Final answer
    x = 1,380,811.34

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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.