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Finding the Third Proportional to 562.36 and 738.07

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Solution

The third proportional to 562.36 and 738.07 is: 968.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.36 : 738.07 = 738.07 : x
  2. Step 2: Convert to fraction form
    562.36/738.07 = 738.07/x
  3. Step 3: Cross multiply
    562.36x = 738.07 × 738.07
  4. Step 4: Simplify right side
    562.36x = 544,747.79
  5. Step 5: Solve for x
    x = 544,747.79/562.36
  6. Step 6: Final answer
    x = 968.68

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.