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Finding the Third Proportional to 301,063.50 and 465,087

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Solution

The third proportional to 301,063.50 and 465,087 is: 718,472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,063.50 : 465,087 = 465,087 : x
  2. Step 2: Convert to fraction form
    301,063.50/465,087 = 465,087/x
  3. Step 3: Cross multiply
    301,063.50x = 465,087 × 465,087
  4. Step 4: Simplify right side
    301,063.50x = 216,305,917,569
  5. Step 5: Solve for x
    x = 216,305,917,569/301,063.50
  6. Step 6: Final answer
    x = 718,472.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.