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Finding the Third Proportional to 209,984 and 460,793

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Solution

The third proportional to 209,984 and 460,793 is: 1,011,173.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,984 : 460,793 = 460,793 : x
  2. Step 2: Convert to fraction form
    209,984/460,793 = 460,793/x
  3. Step 3: Cross multiply
    209,984x = 460,793 × 460,793
  4. Step 4: Simplify right side
    209,984x = 212,330,188,849
  5. Step 5: Solve for x
    x = 212,330,188,849/209,984
  6. Step 6: Final answer
    x = 1,011,173.18

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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.