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Finding the Third Proportional to 246,435.75 and 524,620.13

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Solution

The third proportional to 246,435.75 and 524,620.13 is: 1,116,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,435.75 : 524,620.13 = 524,620.13 : x
  2. Step 2: Convert to fraction form
    246,435.75/524,620.13 = 524,620.13/x
  3. Step 3: Cross multiply
    246,435.75x = 524,620.13 × 524,620.13
  4. Step 4: Simplify right side
    246,435.75x = 275,226,275,555.02
  5. Step 5: Solve for x
    x = 275,226,275,555.02/246,435.75
  6. Step 6: Final answer
    x = 1,116,827.71

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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.