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Finding the Third Proportional to 562.22 and 801.84

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Solution

The third proportional to 562.22 and 801.84 is: 1,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.22 : 801.84 = 801.84 : x
  2. Step 2: Convert to fraction form
    562.22/801.84 = 801.84/x
  3. Step 3: Cross multiply
    562.22x = 801.84 × 801.84
  4. Step 4: Simplify right side
    562.22x = 642,953.40
  5. Step 5: Solve for x
    x = 642,953.40/562.22
  6. Step 6: Final answer
    x = 1,143.60

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Why These Related Problems?

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