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Finding the Third Proportional to 285,813 and 610,974

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Solution

The third proportional to 285,813 and 610,974 is: 1,306,061.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,813 : 610,974 = 610,974 : x
  2. Step 2: Convert to fraction form
    285,813/610,974 = 610,974/x
  3. Step 3: Cross multiply
    285,813x = 610,974 × 610,974
  4. Step 4: Simplify right side
    285,813x = 373,289,228,676
  5. Step 5: Solve for x
    x = 373,289,228,676/285,813
  6. Step 6: Final answer
    x = 1,306,061.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.