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Finding the Third Proportional to 441,712 and 588,504

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Solution

The third proportional to 441,712 and 588,504 is: 784,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,712 : 588,504 = 588,504 : x
  2. Step 2: Convert to fraction form
    441,712/588,504 = 588,504/x
  3. Step 3: Cross multiply
    441,712x = 588,504 × 588,504
  4. Step 4: Simplify right side
    441,712x = 346,336,958,016
  5. Step 5: Solve for x
    x = 346,336,958,016/441,712
  6. Step 6: Final answer
    x = 784,078.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.