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Finding the Third Proportional to 221,640 and 470,943

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Solution

The third proportional to 221,640 and 470,943 is: 1,000,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,640 : 470,943 = 470,943 : x
  2. Step 2: Convert to fraction form
    221,640/470,943 = 470,943/x
  3. Step 3: Cross multiply
    221,640x = 470,943 × 470,943
  4. Step 4: Simplify right side
    221,640x = 221,787,309,249
  5. Step 5: Solve for x
    x = 221,787,309,249/221,640
  6. Step 6: Final answer
    x = 1,000,664.63

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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.