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Finding the Third Proportional to 217,882 and 469,130

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Solution

The third proportional to 217,882 and 469,130 is: 1,010,101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,882 : 469,130 = 469,130 : x
  2. Step 2: Convert to fraction form
    217,882/469,130 = 469,130/x
  3. Step 3: Cross multiply
    217,882x = 469,130 × 469,130
  4. Step 4: Simplify right side
    217,882x = 220,082,956,900
  5. Step 5: Solve for x
    x = 220,082,956,900/217,882
  6. Step 6: Final answer
    x = 1,010,101.60

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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.