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Finding the Third Proportional to 236,378.25 and 546,658.88

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Solution

The third proportional to 236,378.25 and 546,658.88 is: 1,264,227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,378.25 : 546,658.88 = 546,658.88 : x
  2. Step 2: Convert to fraction form
    236,378.25/546,658.88 = 546,658.88/x
  3. Step 3: Cross multiply
    236,378.25x = 546,658.88 × 546,658.88
  4. Step 4: Simplify right side
    236,378.25x = 298,835,925,616.27
  5. Step 5: Solve for x
    x = 298,835,925,616.27/236,378.25
  6. Step 6: Final answer
    x = 1,264,227.68

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.