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Finding the Third Proportional to 405.84 and 606.66

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Solution

The third proportional to 405.84 and 606.66 is: 906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.84 : 606.66 = 606.66 : x
  2. Step 2: Convert to fraction form
    405.84/606.66 = 606.66/x
  3. Step 3: Cross multiply
    405.84x = 606.66 × 606.66
  4. Step 4: Simplify right side
    405.84x = 368,031.81
  5. Step 5: Solve for x
    x = 368,031.81/405.84
  6. Step 6: Final answer
    x = 906.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.