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Finding the Third Proportional to 304,175.25 and 473,455.13

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Solution

The third proportional to 304,175.25 and 473,455.13 is: 736,942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,175.25 : 473,455.13 = 473,455.13 : x
  2. Step 2: Convert to fraction form
    304,175.25/473,455.13 = 473,455.13/x
  3. Step 3: Cross multiply
    304,175.25x = 473,455.13 × 473,455.13
  4. Step 4: Simplify right side
    304,175.25x = 224,159,755,388.77
  5. Step 5: Solve for x
    x = 224,159,755,388.77/304,175.25
  6. Step 6: Final answer
    x = 736,942.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.