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Finding the Third Proportional to 216,001 and 471,307

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Solution

The third proportional to 216,001 and 471,307 is: 1,028,376.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,001 : 471,307 = 471,307 : x
  2. Step 2: Convert to fraction form
    216,001/471,307 = 471,307/x
  3. Step 3: Cross multiply
    216,001x = 471,307 × 471,307
  4. Step 4: Simplify right side
    216,001x = 222,130,288,249
  5. Step 5: Solve for x
    x = 222,130,288,249/216,001
  6. Step 6: Final answer
    x = 1,028,376.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.