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Finding the Third Proportional to 215,541.94 and 508,092.31

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Solution

The third proportional to 215,541.94 and 508,092.31 is: 1,197,714.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,541.94 : 508,092.31 = 508,092.31 : x
  2. Step 2: Convert to fraction form
    215,541.94/508,092.31 = 508,092.31/x
  3. Step 3: Cross multiply
    215,541.94x = 508,092.31 × 508,092.31
  4. Step 4: Simplify right side
    215,541.94x = 258,157,798,021.60
  5. Step 5: Solve for x
    x = 258,157,798,021.60/215,541.94
  6. Step 6: Final answer
    x = 1,197,714.94

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.