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Finding the Third Proportional to 217,056 and 465,264

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Solution

The third proportional to 217,056 and 465,264 is: 997,302.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,056 : 465,264 = 465,264 : x
  2. Step 2: Convert to fraction form
    217,056/465,264 = 465,264/x
  3. Step 3: Cross multiply
    217,056x = 465,264 × 465,264
  4. Step 4: Simplify right side
    217,056x = 216,470,589,696
  5. Step 5: Solve for x
    x = 216,470,589,696/217,056
  6. Step 6: Final answer
    x = 997,302.95

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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.