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Finding the Third Proportional to 405.25 and 592.63

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Solution

The third proportional to 405.25 and 592.63 is: 866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.25 : 592.63 = 592.63 : x
  2. Step 2: Convert to fraction form
    405.25/592.63 = 592.63/x
  3. Step 3: Cross multiply
    405.25x = 592.63 × 592.63
  4. Step 4: Simplify right side
    405.25x = 351,204.39
  5. Step 5: Solve for x
    x = 351,204.39/405.25
  6. Step 6: Final answer
    x = 866.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.