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Finding the Third Proportional to 246,477.75 and 396,823.13

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Solution

The third proportional to 246,477.75 and 396,823.13 is: 638,875.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,477.75 : 396,823.13 = 396,823.13 : x
  2. Step 2: Convert to fraction form
    246,477.75/396,823.13 = 396,823.13/x
  3. Step 3: Cross multiply
    246,477.75x = 396,823.13 × 396,823.13
  4. Step 4: Simplify right side
    246,477.75x = 157,468,592,534.77
  5. Step 5: Solve for x
    x = 157,468,592,534.77/246,477.75
  6. Step 6: Final answer
    x = 638,875.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.