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Finding the Third Proportional to 217,116 and 471,402

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Solution

The third proportional to 217,116 and 471,402 is: 1,023,507.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,116 : 471,402 = 471,402 : x
  2. Step 2: Convert to fraction form
    217,116/471,402 = 471,402/x
  3. Step 3: Cross multiply
    217,116x = 471,402 × 471,402
  4. Step 4: Simplify right side
    217,116x = 222,219,845,604
  5. Step 5: Solve for x
    x = 222,219,845,604/217,116
  6. Step 6: Final answer
    x = 1,023,507.46

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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.