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Finding the Third Proportional to 285,919 and 420,561

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Solution

The third proportional to 285,919 and 420,561 is: 618,607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,919 : 420,561 = 420,561 : x
  2. Step 2: Convert to fraction form
    285,919/420,561 = 420,561/x
  3. Step 3: Cross multiply
    285,919x = 420,561 × 420,561
  4. Step 4: Simplify right side
    285,919x = 176,871,554,721
  5. Step 5: Solve for x
    x = 176,871,554,721/285,919
  6. Step 6: Final answer
    x = 618,607.21

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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.