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Finding the Third Proportional to 553.16 and 750.71

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Solution

The third proportional to 553.16 and 750.71 is: 1,018.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.16 : 750.71 = 750.71 : x
  2. Step 2: Convert to fraction form
    553.16/750.71 = 750.71/x
  3. Step 3: Cross multiply
    553.16x = 750.71 × 750.71
  4. Step 4: Simplify right side
    553.16x = 563,570.58
  5. Step 5: Solve for x
    x = 563,570.58/553.16
  6. Step 6: Final answer
    x = 1,018.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.