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Finding the Third Proportional to 304,859 and 470,199

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Solution

The third proportional to 304,859 and 470,199 is: 725,211.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,859 : 470,199 = 470,199 : x
  2. Step 2: Convert to fraction form
    304,859/470,199 = 470,199/x
  3. Step 3: Cross multiply
    304,859x = 470,199 × 470,199
  4. Step 4: Simplify right side
    304,859x = 221,087,099,601
  5. Step 5: Solve for x
    x = 221,087,099,601/304,859
  6. Step 6: Final answer
    x = 725,211.00

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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.