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Finding the Third Proportional to 419,306.06 and 905,001.75

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Solution

The third proportional to 419,306.06 and 905,001.75 is: 1,953,294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,306.06 : 905,001.75 = 905,001.75 : x
  2. Step 2: Convert to fraction form
    419,306.06/905,001.75 = 905,001.75/x
  3. Step 3: Cross multiply
    419,306.06x = 905,001.75 × 905,001.75
  4. Step 4: Simplify right side
    419,306.06x = 819,028,167,503.06
  5. Step 5: Solve for x
    x = 819,028,167,503.06/419,306.06
  6. Step 6: Final answer
    x = 1,953,294.36

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Why These Related Problems?

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