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Finding the Third Proportional to 411,174 and 470,223

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Solution

The third proportional to 411,174 and 470,223 is: 537,752.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,174 : 470,223 = 470,223 : x
  2. Step 2: Convert to fraction form
    411,174/470,223 = 470,223/x
  3. Step 3: Cross multiply
    411,174x = 470,223 × 470,223
  4. Step 4: Simplify right side
    411,174x = 221,109,669,729
  5. Step 5: Solve for x
    x = 221,109,669,729/411,174
  6. Step 6: Final answer
    x = 537,752.07

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.