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Finding the Third Proportional to 692,559 and 1,040,845.50

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Solution

The third proportional to 692,559 and 1,040,845.50 is: 1,564,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,559 : 1,040,845.50 = 1,040,845.50 : x
  2. Step 2: Convert to fraction form
    692,559/1,040,845.50 = 1,040,845.50/x
  3. Step 3: Cross multiply
    692,559x = 1,040,845.50 × 1,040,845.50
  4. Step 4: Simplify right side
    692,559x = 1,083,359,354,870.25
  5. Step 5: Solve for x
    x = 1,083,359,354,870.25/692,559
  6. Step 6: Final answer
    x = 1,564,284.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.