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Finding the Third Proportional to 321,446 and 700,037

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Solution

The third proportional to 321,446 and 700,037 is: 1,524,522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,446 : 700,037 = 700,037 : x
  2. Step 2: Convert to fraction form
    321,446/700,037 = 700,037/x
  3. Step 3: Cross multiply
    321,446x = 700,037 × 700,037
  4. Step 4: Simplify right side
    321,446x = 490,051,801,369
  5. Step 5: Solve for x
    x = 490,051,801,369/321,446
  6. Step 6: Final answer
    x = 1,524,522.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.