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Finding the Third Proportional to 205,065 and 439,290

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Solution

The third proportional to 205,065 and 439,290 is: 941,046.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,065 : 439,290 = 439,290 : x
  2. Step 2: Convert to fraction form
    205,065/439,290 = 439,290/x
  3. Step 3: Cross multiply
    205,065x = 439,290 × 439,290
  4. Step 4: Simplify right side
    205,065x = 192,975,704,100
  5. Step 5: Solve for x
    x = 192,975,704,100/205,065
  6. Step 6: Final answer
    x = 941,046.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.