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Finding the Third Proportional to 478,899 and 714,198

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Solution

The third proportional to 478,899 and 714,198 is: 1,065,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,899 : 714,198 = 714,198 : x
  2. Step 2: Convert to fraction form
    478,899/714,198 = 714,198/x
  3. Step 3: Cross multiply
    478,899x = 714,198 × 714,198
  4. Step 4: Simplify right side
    478,899x = 510,078,783,204
  5. Step 5: Solve for x
    x = 510,078,783,204/478,899
  6. Step 6: Final answer
    x = 1,065,107.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.