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Finding the Third Proportional to 441,591 and 700,389

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Solution

The third proportional to 441,591 and 700,389 is: 1,110,857.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,591 : 700,389 = 700,389 : x
  2. Step 2: Convert to fraction form
    441,591/700,389 = 700,389/x
  3. Step 3: Cross multiply
    441,591x = 700,389 × 700,389
  4. Step 4: Simplify right side
    441,591x = 490,544,751,321
  5. Step 5: Solve for x
    x = 490,544,751,321/441,591
  6. Step 6: Final answer
    x = 1,110,857.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.