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Finding the Third Proportional to 217,237 and 460,693

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Solution

The third proportional to 217,237 and 460,693 is: 976,988.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,237 : 460,693 = 460,693 : x
  2. Step 2: Convert to fraction form
    217,237/460,693 = 460,693/x
  3. Step 3: Cross multiply
    217,237x = 460,693 × 460,693
  4. Step 4: Simplify right side
    217,237x = 212,238,040,249
  5. Step 5: Solve for x
    x = 212,238,040,249/217,237
  6. Step 6: Final answer
    x = 976,988.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.