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Finding the Third Proportional to 607,991 and 908,583.50

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Solution

The third proportional to 607,991 and 908,583.50 is: 1,357,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,991 : 908,583.50 = 908,583.50 : x
  2. Step 2: Convert to fraction form
    607,991/908,583.50 = 908,583.50/x
  3. Step 3: Cross multiply
    607,991x = 908,583.50 × 908,583.50
  4. Step 4: Simplify right side
    607,991x = 825,523,976,472.25
  5. Step 5: Solve for x
    x = 825,523,976,472.25/607,991
  6. Step 6: Final answer
    x = 1,357,789.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.