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Finding the Third Proportional to 295,382 and 433,204

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Solution

The third proportional to 295,382 and 433,204 is: 635,332.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,382 : 433,204 = 433,204 : x
  2. Step 2: Convert to fraction form
    295,382/433,204 = 433,204/x
  3. Step 3: Cross multiply
    295,382x = 433,204 × 433,204
  4. Step 4: Simplify right side
    295,382x = 187,665,705,616
  5. Step 5: Solve for x
    x = 187,665,705,616/295,382
  6. Step 6: Final answer
    x = 635,332.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.