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Finding the Third Proportional to 522,766 and 736,188

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Solution

The third proportional to 522,766 and 736,188 is: 1,036,740.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,766 : 736,188 = 736,188 : x
  2. Step 2: Convert to fraction form
    522,766/736,188 = 736,188/x
  3. Step 3: Cross multiply
    522,766x = 736,188 × 736,188
  4. Step 4: Simplify right side
    522,766x = 541,972,771,344
  5. Step 5: Solve for x
    x = 541,972,771,344/522,766
  6. Step 6: Final answer
    x = 1,036,740.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.