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Finding the Third Proportional to 530,604 and 811,404

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Solution

The third proportional to 530,604 and 811,404 is: 1,240,805.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,604 : 811,404 = 811,404 : x
  2. Step 2: Convert to fraction form
    530,604/811,404 = 811,404/x
  3. Step 3: Cross multiply
    530,604x = 811,404 × 811,404
  4. Step 4: Simplify right side
    530,604x = 658,376,451,216
  5. Step 5: Solve for x
    x = 658,376,451,216/530,604
  6. Step 6: Final answer
    x = 1,240,805.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.