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Finding the Third Proportional to 217,058 and 465,265

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Solution

The third proportional to 217,058 and 465,265 is: 997,298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,058 : 465,265 = 465,265 : x
  2. Step 2: Convert to fraction form
    217,058/465,265 = 465,265/x
  3. Step 3: Cross multiply
    217,058x = 465,265 × 465,265
  4. Step 4: Simplify right side
    217,058x = 216,471,520,225
  5. Step 5: Solve for x
    x = 216,471,520,225/217,058
  6. Step 6: Final answer
    x = 997,298.05

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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.