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Finding the Third Proportional to 332,574.75 and 729,529.25

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Solution

The third proportional to 332,574.75 and 729,529.25 is: 1,600,280.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,574.75 : 729,529.25 = 729,529.25 : x
  2. Step 2: Convert to fraction form
    332,574.75/729,529.25 = 729,529.25/x
  3. Step 3: Cross multiply
    332,574.75x = 729,529.25 × 729,529.25
  4. Step 4: Simplify right side
    332,574.75x = 532,212,926,605.56
  5. Step 5: Solve for x
    x = 532,212,926,605.56/332,574.75
  6. Step 6: Final answer
    x = 1,600,280.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.