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Finding the Third Proportional to 419,260.50 and 904,914

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Solution

The third proportional to 419,260.50 and 904,914 is: 1,953,127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,260.50 : 904,914 = 904,914 : x
  2. Step 2: Convert to fraction form
    419,260.50/904,914 = 904,914/x
  3. Step 3: Cross multiply
    419,260.50x = 904,914 × 904,914
  4. Step 4: Simplify right side
    419,260.50x = 818,869,347,396
  5. Step 5: Solve for x
    x = 818,869,347,396/419,260.50
  6. Step 6: Final answer
    x = 1,953,127.82

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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.