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Finding the Third Proportional to 419,215.50 and 904,851

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Solution

The third proportional to 419,215.50 and 904,851 is: 1,953,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,215.50 : 904,851 = 904,851 : x
  2. Step 2: Convert to fraction form
    419,215.50/904,851 = 904,851/x
  3. Step 3: Cross multiply
    419,215.50x = 904,851 × 904,851
  4. Step 4: Simplify right side
    419,215.50x = 818,755,332,201
  5. Step 5: Solve for x
    x = 818,755,332,201/419,215.50
  6. Step 6: Final answer
    x = 1,953,065.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.