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Finding the Third Proportional to 386,340.75 and 590,994.56

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Solution

The third proportional to 386,340.75 and 590,994.56 is: 904,058.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,340.75 : 590,994.56 = 590,994.56 : x
  2. Step 2: Convert to fraction form
    386,340.75/590,994.56 = 590,994.56/x
  3. Step 3: Cross multiply
    386,340.75x = 590,994.56 × 590,994.56
  4. Step 4: Simplify right side
    386,340.75x = 349,274,572,904.57
  5. Step 5: Solve for x
    x = 349,274,572,904.57/386,340.75
  6. Step 6: Final answer
    x = 904,058.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.