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Finding the Third Proportional to 219,906 and 465,624

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Solution

The third proportional to 219,906 and 465,624 is: 985,901.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,906 : 465,624 = 465,624 : x
  2. Step 2: Convert to fraction form
    219,906/465,624 = 465,624/x
  3. Step 3: Cross multiply
    219,906x = 465,624 × 465,624
  4. Step 4: Simplify right side
    219,906x = 216,805,709,376
  5. Step 5: Solve for x
    x = 216,805,709,376/219,906
  6. Step 6: Final answer
    x = 985,901.75

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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.