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Finding the Third Proportional to 805.22 and 1,148.77

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Solution

The third proportional to 805.22 and 1,148.77 is: 1,638.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.22 : 1,148.77 = 1,148.77 : x
  2. Step 2: Convert to fraction form
    805.22/1,148.77 = 1,148.77/x
  3. Step 3: Cross multiply
    805.22x = 1,148.77 × 1,148.77
  4. Step 4: Simplify right side
    805.22x = 1,319,662.46
  5. Step 5: Solve for x
    x = 1,319,662.46/805.22
  6. Step 6: Final answer
    x = 1,638.89

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.