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Finding the Third Proportional to 300,067.03 and 460,122.40

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Solution

The third proportional to 300,067.03 and 460,122.40 is: 705,551.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,067.03 : 460,122.40 = 460,122.40 : x
  2. Step 2: Convert to fraction form
    300,067.03/460,122.40 = 460,122.40/x
  3. Step 3: Cross multiply
    300,067.03x = 460,122.40 × 460,122.40
  4. Step 4: Simplify right side
    300,067.03x = 211,712,621,543.88
  5. Step 5: Solve for x
    x = 211,712,621,543.88/300,067.03
  6. Step 6: Final answer
    x = 705,551.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.