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Finding the Third Proportional to 713,083.50 and 1,091,920.50

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Solution

The third proportional to 713,083.50 and 1,091,920.50 is: 1,672,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,083.50 : 1,091,920.50 = 1,091,920.50 : x
  2. Step 2: Convert to fraction form
    713,083.50/1,091,920.50 = 1,091,920.50/x
  3. Step 3: Cross multiply
    713,083.50x = 1,091,920.50 × 1,091,920.50
  4. Step 4: Simplify right side
    713,083.50x = 1,192,290,378,320.25
  5. Step 5: Solve for x
    x = 1,192,290,378,320.25/713,083.50
  6. Step 6: Final answer
    x = 1,672,020.71

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.