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Finding the Third Proportional to 242,728 and 532,112

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Solution

The third proportional to 242,728 and 532,112 is: 1,166,503.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,728 : 532,112 = 532,112 : x
  2. Step 2: Convert to fraction form
    242,728/532,112 = 532,112/x
  3. Step 3: Cross multiply
    242,728x = 532,112 × 532,112
  4. Step 4: Simplify right side
    242,728x = 283,143,180,544
  5. Step 5: Solve for x
    x = 283,143,180,544/242,728
  6. Step 6: Final answer
    x = 1,166,503.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.