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Finding the Third Proportional to 217,496 and 461,104

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Solution

The third proportional to 217,496 and 461,104 is: 977,566.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,496 : 461,104 = 461,104 : x
  2. Step 2: Convert to fraction form
    217,496/461,104 = 461,104/x
  3. Step 3: Cross multiply
    217,496x = 461,104 × 461,104
  4. Step 4: Simplify right side
    217,496x = 212,616,898,816
  5. Step 5: Solve for x
    x = 212,616,898,816/217,496
  6. Step 6: Final answer
    x = 977,566.94

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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.