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Finding the Third Proportional to 281,605 and 583,169

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Solution

The third proportional to 281,605 and 583,169 is: 1,207,670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,605 : 583,169 = 583,169 : x
  2. Step 2: Convert to fraction form
    281,605/583,169 = 583,169/x
  3. Step 3: Cross multiply
    281,605x = 583,169 × 583,169
  4. Step 4: Simplify right side
    281,605x = 340,086,082,561
  5. Step 5: Solve for x
    x = 340,086,082,561/281,605
  6. Step 6: Final answer
    x = 1,207,670.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.