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Finding the Third Proportional to 535,947 and 853,120.50

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Solution

The third proportional to 535,947 and 853,120.50 is: 1,357,997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,947 : 853,120.50 = 853,120.50 : x
  2. Step 2: Convert to fraction form
    535,947/853,120.50 = 853,120.50/x
  3. Step 3: Cross multiply
    535,947x = 853,120.50 × 853,120.50
  4. Step 4: Simplify right side
    535,947x = 727,814,587,520.25
  5. Step 5: Solve for x
    x = 727,814,587,520.25/535,947
  6. Step 6: Final answer
    x = 1,357,997.32

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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.