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Finding the Third Proportional to 387,354.50 and 843,301.50

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Solution

The third proportional to 387,354.50 and 843,301.50 is: 1,835,934.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,354.50 : 843,301.50 = 843,301.50 : x
  2. Step 2: Convert to fraction form
    387,354.50/843,301.50 = 843,301.50/x
  3. Step 3: Cross multiply
    387,354.50x = 843,301.50 × 843,301.50
  4. Step 4: Simplify right side
    387,354.50x = 711,157,419,902.25
  5. Step 5: Solve for x
    x = 711,157,419,902.25/387,354.50
  6. Step 6: Final answer
    x = 1,835,934.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.