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Finding the Third Proportional to 301,465.13 and 479,872.69

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Solution

The third proportional to 301,465.13 and 479,872.69 is: 763,862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,465.13 : 479,872.69 = 479,872.69 : x
  2. Step 2: Convert to fraction form
    301,465.13/479,872.69 = 479,872.69/x
  3. Step 3: Cross multiply
    301,465.13x = 479,872.69 × 479,872.69
  4. Step 4: Simplify right side
    301,465.13x = 230,277,796,208.47
  5. Step 5: Solve for x
    x = 230,277,796,208.47/301,465.13
  6. Step 6: Final answer
    x = 763,862.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.