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Finding the Third Proportional to 216,007 and 471,319

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Solution

The third proportional to 216,007 and 471,319 is: 1,028,400.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,007 : 471,319 = 471,319 : x
  2. Step 2: Convert to fraction form
    216,007/471,319 = 471,319/x
  3. Step 3: Cross multiply
    216,007x = 471,319 × 471,319
  4. Step 4: Simplify right side
    216,007x = 222,141,599,761
  5. Step 5: Solve for x
    x = 222,141,599,761/216,007
  6. Step 6: Final answer
    x = 1,028,400.00

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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.