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Finding the Third Proportional to 291,223 and 447,008

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Solution

The third proportional to 291,223 and 447,008 is: 686,127.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,223 : 447,008 = 447,008 : x
  2. Step 2: Convert to fraction form
    291,223/447,008 = 447,008/x
  3. Step 3: Cross multiply
    291,223x = 447,008 × 447,008
  4. Step 4: Simplify right side
    291,223x = 199,816,152,064
  5. Step 5: Solve for x
    x = 199,816,152,064/291,223
  6. Step 6: Final answer
    x = 686,127.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.