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Finding the Third Proportional to 440,834 and 659,543

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Solution

The third proportional to 440,834 and 659,543 is: 986,759.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,834 : 659,543 = 659,543 : x
  2. Step 2: Convert to fraction form
    440,834/659,543 = 659,543/x
  3. Step 3: Cross multiply
    440,834x = 659,543 × 659,543
  4. Step 4: Simplify right side
    440,834x = 434,996,968,849
  5. Step 5: Solve for x
    x = 434,996,968,849/440,834
  6. Step 6: Final answer
    x = 986,759.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.