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Finding the Third Proportional to 546,926.63 and 827,935.88

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Solution

The third proportional to 546,926.63 and 827,935.88 is: 1,253,326.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,926.63 : 827,935.88 = 827,935.88 : x
  2. Step 2: Convert to fraction form
    546,926.63/827,935.88 = 827,935.88/x
  3. Step 3: Cross multiply
    546,926.63x = 827,935.88 × 827,935.88
  4. Step 4: Simplify right side
    546,926.63x = 685,477,813,112.02
  5. Step 5: Solve for x
    x = 685,477,813,112.02/546,926.63
  6. Step 6: Final answer
    x = 1,253,326.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.