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Finding the Third Proportional to 304,864 and 470,206

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Solution

The third proportional to 304,864 and 470,206 is: 725,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,864 : 470,206 = 470,206 : x
  2. Step 2: Convert to fraction form
    304,864/470,206 = 470,206/x
  3. Step 3: Cross multiply
    304,864x = 470,206 × 470,206
  4. Step 4: Simplify right side
    304,864x = 221,093,682,436
  5. Step 5: Solve for x
    x = 221,093,682,436/304,864
  6. Step 6: Final answer
    x = 725,220.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.