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Finding the Third Proportional to 440,624 and 700,404

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Solution

The third proportional to 440,624 and 700,404 is: 1,113,343.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,624 : 700,404 = 700,404 : x
  2. Step 2: Convert to fraction form
    440,624/700,404 = 700,404/x
  3. Step 3: Cross multiply
    440,624x = 700,404 × 700,404
  4. Step 4: Simplify right side
    440,624x = 490,565,763,216
  5. Step 5: Solve for x
    x = 490,565,763,216/440,624
  6. Step 6: Final answer
    x = 1,113,343.27

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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.