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Finding the Third Proportional to 477.47 and 896.44

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Solution

The third proportional to 477.47 and 896.44 is: 1,683.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.47 : 896.44 = 896.44 : x
  2. Step 2: Convert to fraction form
    477.47/896.44 = 896.44/x
  3. Step 3: Cross multiply
    477.47x = 896.44 × 896.44
  4. Step 4: Simplify right side
    477.47x = 803,600.19
  5. Step 5: Solve for x
    x = 803,600.19/477.47
  6. Step 6: Final answer
    x = 1,683.04

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.