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Finding the Third Proportional to 256,562.44 and 546,339.94

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Solution

The third proportional to 256,562.44 and 546,339.94 is: 1,163,410.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,562.44 : 546,339.94 = 546,339.94 : x
  2. Step 2: Convert to fraction form
    256,562.44/546,339.94 = 546,339.94/x
  3. Step 3: Cross multiply
    256,562.44x = 546,339.94 × 546,339.94
  4. Step 4: Simplify right side
    256,562.44x = 298,487,327,307.50
  5. Step 5: Solve for x
    x = 298,487,327,307.50/256,562.44
  6. Step 6: Final answer
    x = 1,163,410.09

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.