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Finding the Third Proportional to 692,590.50 and 1,040,890.50

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Solution

The third proportional to 692,590.50 and 1,040,890.50 is: 1,564,348.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,590.50 : 1,040,890.50 = 1,040,890.50 : x
  2. Step 2: Convert to fraction form
    692,590.50/1,040,890.50 = 1,040,890.50/x
  3. Step 3: Cross multiply
    692,590.50x = 1,040,890.50 × 1,040,890.50
  4. Step 4: Simplify right side
    692,590.50x = 1,083,453,032,990.25
  5. Step 5: Solve for x
    x = 1,083,453,032,990.25/692,590.50
  6. Step 6: Final answer
    x = 1,564,348.68

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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.