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Finding the Third Proportional to 264,522 and 408,695

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Solution

The third proportional to 264,522 and 408,695 is: 631,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,522 : 408,695 = 408,695 : x
  2. Step 2: Convert to fraction form
    264,522/408,695 = 408,695/x
  3. Step 3: Cross multiply
    264,522x = 408,695 × 408,695
  4. Step 4: Simplify right side
    264,522x = 167,031,603,025
  5. Step 5: Solve for x
    x = 167,031,603,025/264,522
  6. Step 6: Final answer
    x = 631,446.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.