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Finding the Third Proportional to 304,096 and 470,908

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Solution

The third proportional to 304,096 and 470,908 is: 729,224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,096 : 470,908 = 470,908 : x
  2. Step 2: Convert to fraction form
    304,096/470,908 = 470,908/x
  3. Step 3: Cross multiply
    304,096x = 470,908 × 470,908
  4. Step 4: Simplify right side
    304,096x = 221,754,344,464
  5. Step 5: Solve for x
    x = 221,754,344,464/304,096
  6. Step 6: Final answer
    x = 729,224.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.