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Finding the Third Proportional to 244,582 and 533,997

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Solution

The third proportional to 244,582 and 533,997 is: 1,165,878.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,582 : 533,997 = 533,997 : x
  2. Step 2: Convert to fraction form
    244,582/533,997 = 533,997/x
  3. Step 3: Cross multiply
    244,582x = 533,997 × 533,997
  4. Step 4: Simplify right side
    244,582x = 285,152,796,009
  5. Step 5: Solve for x
    x = 285,152,796,009/244,582
  6. Step 6: Final answer
    x = 1,165,878.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.