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Finding the Third Proportional to 440,176 and 659,994

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Solution

The third proportional to 440,176 and 659,994 is: 989,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,176 : 659,994 = 659,994 : x
  2. Step 2: Convert to fraction form
    440,176/659,994 = 659,994/x
  3. Step 3: Cross multiply
    440,176x = 659,994 × 659,994
  4. Step 4: Simplify right side
    440,176x = 435,592,080,036
  5. Step 5: Solve for x
    x = 435,592,080,036/440,176
  6. Step 6: Final answer
    x = 989,586.17

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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.