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Finding the Third Proportional to 217,964 and 467,032

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Solution

The third proportional to 217,964 and 467,032 is: 1,000,710.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,964 : 467,032 = 467,032 : x
  2. Step 2: Convert to fraction form
    217,964/467,032 = 467,032/x
  3. Step 3: Cross multiply
    217,964x = 467,032 × 467,032
  4. Step 4: Simplify right side
    217,964x = 218,118,889,024
  5. Step 5: Solve for x
    x = 218,118,889,024/217,964
  6. Step 6: Final answer
    x = 1,000,710.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.