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Finding the Third Proportional to 477.49 and 561.87

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Solution

The third proportional to 477.49 and 561.87 is: 661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.49 : 561.87 = 561.87 : x
  2. Step 2: Convert to fraction form
    477.49/561.87 = 561.87/x
  3. Step 3: Cross multiply
    477.49x = 561.87 × 561.87
  4. Step 4: Simplify right side
    477.49x = 315,694.74
  5. Step 5: Solve for x
    x = 315,694.74/477.49
  6. Step 6: Final answer
    x = 661.15

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.