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Finding the Third Proportional to 242,412 and 515,463

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Solution

The third proportional to 242,412 and 515,463 is: 1,096,076.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,412 : 515,463 = 515,463 : x
  2. Step 2: Convert to fraction form
    242,412/515,463 = 515,463/x
  3. Step 3: Cross multiply
    242,412x = 515,463 × 515,463
  4. Step 4: Simplify right side
    242,412x = 265,702,104,369
  5. Step 5: Solve for x
    x = 265,702,104,369/242,412
  6. Step 6: Final answer
    x = 1,096,076.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.