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Finding the Third Proportional to 442,884 and 649,563

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Solution

The third proportional to 442,884 and 649,563 is: 952,692.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,884 : 649,563 = 649,563 : x
  2. Step 2: Convert to fraction form
    442,884/649,563 = 649,563/x
  3. Step 3: Cross multiply
    442,884x = 649,563 × 649,563
  4. Step 4: Simplify right side
    442,884x = 421,932,090,969
  5. Step 5: Solve for x
    x = 421,932,090,969/442,884
  6. Step 6: Final answer
    x = 952,692.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.