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Finding the Third Proportional to 209,231 and 457,584

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Solution

The third proportional to 209,231 and 457,584 is: 1,000,727.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,231 : 457,584 = 457,584 : x
  2. Step 2: Convert to fraction form
    209,231/457,584 = 457,584/x
  3. Step 3: Cross multiply
    209,231x = 457,584 × 457,584
  4. Step 4: Simplify right side
    209,231x = 209,383,117,056
  5. Step 5: Solve for x
    x = 209,383,117,056/209,231
  6. Step 6: Final answer
    x = 1,000,727.03

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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.