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Finding the Third Proportional to 246,705.75 and 538,032.38

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Solution

The third proportional to 246,705.75 and 538,032.38 is: 1,173,376.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,705.75 : 538,032.38 = 538,032.38 : x
  2. Step 2: Convert to fraction form
    246,705.75/538,032.38 = 538,032.38/x
  3. Step 3: Cross multiply
    246,705.75x = 538,032.38 × 538,032.38
  4. Step 4: Simplify right side
    246,705.75x = 289,478,836,548.14
  5. Step 5: Solve for x
    x = 289,478,836,548.14/246,705.75
  6. Step 6: Final answer
    x = 1,173,376.93

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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.