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Finding the Third Proportional to 386,212.50 and 590,811.75

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Solution

The third proportional to 386,212.50 and 590,811.75 is: 903,799.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,212.50 : 590,811.75 = 590,811.75 : x
  2. Step 2: Convert to fraction form
    386,212.50/590,811.75 = 590,811.75/x
  3. Step 3: Cross multiply
    386,212.50x = 590,811.75 × 590,811.75
  4. Step 4: Simplify right side
    386,212.50x = 349,058,523,938.06
  5. Step 5: Solve for x
    x = 349,058,523,938.06/386,212.50
  6. Step 6: Final answer
    x = 903,799.14

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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.