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Finding the Third Proportional to 246,672 and 538,998

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Solution

The third proportional to 246,672 and 538,998 is: 1,177,753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,672 : 538,998 = 538,998 : x
  2. Step 2: Convert to fraction form
    246,672/538,998 = 538,998/x
  3. Step 3: Cross multiply
    246,672x = 538,998 × 538,998
  4. Step 4: Simplify right side
    246,672x = 290,518,844,004
  5. Step 5: Solve for x
    x = 290,518,844,004/246,672
  6. Step 6: Final answer
    x = 1,177,753.63

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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.