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Finding the Third Proportional to 301,342.50 and 455,901.75

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Solution

The third proportional to 301,342.50 and 455,901.75 is: 689,734.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,342.50 : 455,901.75 = 455,901.75 : x
  2. Step 2: Convert to fraction form
    301,342.50/455,901.75 = 455,901.75/x
  3. Step 3: Cross multiply
    301,342.50x = 455,901.75 × 455,901.75
  4. Step 4: Simplify right side
    301,342.50x = 207,846,405,653.06
  5. Step 5: Solve for x
    x = 207,846,405,653.06/301,342.50
  6. Step 6: Final answer
    x = 689,734.79

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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.