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Finding the Third Proportional to 565,072.50 and 853,368.75

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Solution

The third proportional to 565,072.50 and 853,368.75 is: 1,288,751.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,072.50 : 853,368.75 = 853,368.75 : x
  2. Step 2: Convert to fraction form
    565,072.50/853,368.75 = 853,368.75/x
  3. Step 3: Cross multiply
    565,072.50x = 853,368.75 × 853,368.75
  4. Step 4: Simplify right side
    565,072.50x = 728,238,223,476.56
  5. Step 5: Solve for x
    x = 728,238,223,476.56/565,072.50
  6. Step 6: Final answer
    x = 1,288,751.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.