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Finding the Third Proportional to 285,795 and 420,797

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Solution

The third proportional to 285,795 and 420,797 is: 619,570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,795 : 420,797 = 420,797 : x
  2. Step 2: Convert to fraction form
    285,795/420,797 = 420,797/x
  3. Step 3: Cross multiply
    285,795x = 420,797 × 420,797
  4. Step 4: Simplify right side
    285,795x = 177,070,115,209
  5. Step 5: Solve for x
    x = 177,070,115,209/285,795
  6. Step 6: Final answer
    x = 619,570.37

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.