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Finding the Third Proportional to 234,487 and 363,314

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Solution

The third proportional to 234,487 and 363,314 is: 562,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,487 : 363,314 = 363,314 : x
  2. Step 2: Convert to fraction form
    234,487/363,314 = 363,314/x
  3. Step 3: Cross multiply
    234,487x = 363,314 × 363,314
  4. Step 4: Simplify right side
    234,487x = 131,997,062,596
  5. Step 5: Solve for x
    x = 131,997,062,596/234,487
  6. Step 6: Final answer
    x = 562,918.47

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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.