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Finding the Third Proportional to 219,313 and 471,260

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Solution

The third proportional to 219,313 and 471,260 is: 1,012,643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,313 : 471,260 = 471,260 : x
  2. Step 2: Convert to fraction form
    219,313/471,260 = 471,260/x
  3. Step 3: Cross multiply
    219,313x = 471,260 × 471,260
  4. Step 4: Simplify right side
    219,313x = 222,085,987,600
  5. Step 5: Solve for x
    x = 222,085,987,600/219,313
  6. Step 6: Final answer
    x = 1,012,643.97

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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.