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Finding the Third Proportional to 242,938 and 501,438

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Solution

The third proportional to 242,938 and 501,438 is: 1,034,996.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,938 : 501,438 = 501,438 : x
  2. Step 2: Convert to fraction form
    242,938/501,438 = 501,438/x
  3. Step 3: Cross multiply
    242,938x = 501,438 × 501,438
  4. Step 4: Simplify right side
    242,938x = 251,440,067,844
  5. Step 5: Solve for x
    x = 251,440,067,844/242,938
  6. Step 6: Final answer
    x = 1,034,996.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.