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Finding the Third Proportional to 305,382.94 and 475,525.69

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Solution

The third proportional to 305,382.94 and 475,525.69 is: 740,462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,382.94 : 475,525.69 = 475,525.69 : x
  2. Step 2: Convert to fraction form
    305,382.94/475,525.69 = 475,525.69/x
  3. Step 3: Cross multiply
    305,382.94x = 475,525.69 × 475,525.69
  4. Step 4: Simplify right side
    305,382.94x = 226,124,679,472.35
  5. Step 5: Solve for x
    x = 226,124,679,472.35/305,382.94
  6. Step 6: Final answer
    x = 740,462.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.