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Finding the Third Proportional to 597,945 and 926,806.50

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Solution

The third proportional to 597,945 and 926,806.50 is: 1,436,537.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,945 : 926,806.50 = 926,806.50 : x
  2. Step 2: Convert to fraction form
    597,945/926,806.50 = 926,806.50/x
  3. Step 3: Cross multiply
    597,945x = 926,806.50 × 926,806.50
  4. Step 4: Simplify right side
    597,945x = 858,970,288,442.25
  5. Step 5: Solve for x
    x = 858,970,288,442.25/597,945
  6. Step 6: Final answer
    x = 1,436,537.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.