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Finding the Third Proportional to 535,923 and 853,084.50

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Solution

The third proportional to 535,923 and 853,084.50 is: 1,357,943.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,923 : 853,084.50 = 853,084.50 : x
  2. Step 2: Convert to fraction form
    535,923/853,084.50 = 853,084.50/x
  3. Step 3: Cross multiply
    535,923x = 853,084.50 × 853,084.50
  4. Step 4: Simplify right side
    535,923x = 727,753,164,140.25
  5. Step 5: Solve for x
    x = 727,753,164,140.25/535,923
  6. Step 6: Final answer
    x = 1,357,943.52

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.