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Finding the Third Proportional to 208,875 and 428,811

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Solution

The third proportional to 208,875 and 428,811 is: 880,329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,875 : 428,811 = 428,811 : x
  2. Step 2: Convert to fraction form
    208,875/428,811 = 428,811/x
  3. Step 3: Cross multiply
    208,875x = 428,811 × 428,811
  4. Step 4: Simplify right side
    208,875x = 183,878,873,721
  5. Step 5: Solve for x
    x = 183,878,873,721/208,875
  6. Step 6: Final answer
    x = 880,329.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.