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Finding the Third Proportional to 567,621 and 853,825.50

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Solution

The third proportional to 567,621 and 853,825.50 is: 1,284,339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,621 : 853,825.50 = 853,825.50 : x
  2. Step 2: Convert to fraction form
    567,621/853,825.50 = 853,825.50/x
  3. Step 3: Cross multiply
    567,621x = 853,825.50 × 853,825.50
  4. Step 4: Simplify right side
    567,621x = 729,017,984,450.25
  5. Step 5: Solve for x
    x = 729,017,984,450.25/567,621
  6. Step 6: Final answer
    x = 1,284,339.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.