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Finding the Third Proportional to 304,379 and 473,147

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Solution

The third proportional to 304,379 and 473,147 is: 735,491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,379 : 473,147 = 473,147 : x
  2. Step 2: Convert to fraction form
    304,379/473,147 = 473,147/x
  3. Step 3: Cross multiply
    304,379x = 473,147 × 473,147
  4. Step 4: Simplify right side
    304,379x = 223,868,083,609
  5. Step 5: Solve for x
    x = 223,868,083,609/304,379
  6. Step 6: Final answer
    x = 735,491.23

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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.