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Finding the Third Proportional to 589,134.50 and 906,675

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Solution

The third proportional to 589,134.50 and 906,675 is: 1,395,368.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,134.50 : 906,675 = 906,675 : x
  2. Step 2: Convert to fraction form
    589,134.50/906,675 = 906,675/x
  3. Step 3: Cross multiply
    589,134.50x = 906,675 × 906,675
  4. Step 4: Simplify right side
    589,134.50x = 822,059,555,625
  5. Step 5: Solve for x
    x = 822,059,555,625/589,134.50
  6. Step 6: Final answer
    x = 1,395,368.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.