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Finding the Third Proportional to 217,445 and 471,082

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Solution

The third proportional to 217,445 and 471,082 is: 1,020,571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,445 : 471,082 = 471,082 : x
  2. Step 2: Convert to fraction form
    217,445/471,082 = 471,082/x
  3. Step 3: Cross multiply
    217,445x = 471,082 × 471,082
  4. Step 4: Simplify right side
    217,445x = 221,918,250,724
  5. Step 5: Solve for x
    x = 221,918,250,724/217,445
  6. Step 6: Final answer
    x = 1,020,571.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.