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Finding the Third Proportional to 301,393.50 and 455,974.50

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Solution

The third proportional to 301,393.50 and 455,974.50 is: 689,838.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,393.50 : 455,974.50 = 455,974.50 : x
  2. Step 2: Convert to fraction form
    301,393.50/455,974.50 = 455,974.50/x
  3. Step 3: Cross multiply
    301,393.50x = 455,974.50 × 455,974.50
  4. Step 4: Simplify right side
    301,393.50x = 207,912,744,650.25
  5. Step 5: Solve for x
    x = 207,912,744,650.25/301,393.50
  6. Step 6: Final answer
    x = 689,838.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.