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Finding the Third Proportional to 304,372 and 473,134

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Solution

The third proportional to 304,372 and 473,134 is: 735,467.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,372 : 473,134 = 473,134 : x
  2. Step 2: Convert to fraction form
    304,372/473,134 = 473,134/x
  3. Step 3: Cross multiply
    304,372x = 473,134 × 473,134
  4. Step 4: Simplify right side
    304,372x = 223,855,781,956
  5. Step 5: Solve for x
    x = 223,855,781,956/304,372
  6. Step 6: Final answer
    x = 735,467.72

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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.