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Finding the Third Proportional to 296,952.75 and 478,112.63

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Solution

The third proportional to 296,952.75 and 478,112.63 is: 769,791.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,952.75 : 478,112.63 = 478,112.63 : x
  2. Step 2: Convert to fraction form
    296,952.75/478,112.63 = 478,112.63/x
  3. Step 3: Cross multiply
    296,952.75x = 478,112.63 × 478,112.63
  4. Step 4: Simplify right side
    296,952.75x = 228,591,682,184.39
  5. Step 5: Solve for x
    x = 228,591,682,184.39/296,952.75
  6. Step 6: Final answer
    x = 769,791.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.