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Finding the Third Proportional to 705,559.50 and 927,112.50

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Solution

The third proportional to 705,559.50 and 927,112.50 is: 1,218,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,559.50 : 927,112.50 = 927,112.50 : x
  2. Step 2: Convert to fraction form
    705,559.50/927,112.50 = 927,112.50/x
  3. Step 3: Cross multiply
    705,559.50x = 927,112.50 × 927,112.50
  4. Step 4: Simplify right side
    705,559.50x = 859,537,587,656.25
  5. Step 5: Solve for x
    x = 859,537,587,656.25/705,559.50
  6. Step 6: Final answer
    x = 1,218,235.44

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.