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Finding the Third Proportional to 285,082 and 612,283

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Solution

The third proportional to 285,082 and 612,283 is: 1,315,026.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,082 : 612,283 = 612,283 : x
  2. Step 2: Convert to fraction form
    285,082/612,283 = 612,283/x
  3. Step 3: Cross multiply
    285,082x = 612,283 × 612,283
  4. Step 4: Simplify right side
    285,082x = 374,890,472,089
  5. Step 5: Solve for x
    x = 374,890,472,089/285,082
  6. Step 6: Final answer
    x = 1,315,026.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.