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Finding the Third Proportional to 832.22 and 1,280.74

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Solution

The third proportional to 832.22 and 1,280.74 is: 1,971.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.22 : 1,280.74 = 1,280.74 : x
  2. Step 2: Convert to fraction form
    832.22/1,280.74 = 1,280.74/x
  3. Step 3: Cross multiply
    832.22x = 1,280.74 × 1,280.74
  4. Step 4: Simplify right side
    832.22x = 1,640,300.55
  5. Step 5: Solve for x
    x = 1,640,300.55/832.22
  6. Step 6: Final answer
    x = 1,971.00

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.