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Finding the Third Proportional to 217,082 and 469,264

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Solution

The third proportional to 217,082 and 469,264 is: 1,014,403.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,082 : 469,264 = 469,264 : x
  2. Step 2: Convert to fraction form
    217,082/469,264 = 469,264/x
  3. Step 3: Cross multiply
    217,082x = 469,264 × 469,264
  4. Step 4: Simplify right side
    217,082x = 220,208,701,696
  5. Step 5: Solve for x
    x = 220,208,701,696/217,082
  6. Step 6: Final answer
    x = 1,014,403.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.