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Finding the Third Proportional to 562.64 and 833.34

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Solution

The third proportional to 562.64 and 833.34 is: 1,234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.64 : 833.34 = 833.34 : x
  2. Step 2: Convert to fraction form
    562.64/833.34 = 833.34/x
  3. Step 3: Cross multiply
    562.64x = 833.34 × 833.34
  4. Step 4: Simplify right side
    562.64x = 694,461.81
  5. Step 5: Solve for x
    x = 694,461.81/562.64
  6. Step 6: Final answer
    x = 1,234.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.