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Finding the Third Proportional to 201,802 and 439,072

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Solution

The third proportional to 201,802 and 439,072 is: 955,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,802 : 439,072 = 439,072 : x
  2. Step 2: Convert to fraction form
    201,802/439,072 = 439,072/x
  3. Step 3: Cross multiply
    201,802x = 439,072 × 439,072
  4. Step 4: Simplify right side
    201,802x = 192,784,221,184
  5. Step 5: Solve for x
    x = 192,784,221,184/201,802
  6. Step 6: Final answer
    x = 955,313.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.