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Finding the Third Proportional to 286,596 and 367,560

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Solution

The third proportional to 286,596 and 367,560 is: 471,396.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,596 : 367,560 = 367,560 : x
  2. Step 2: Convert to fraction form
    286,596/367,560 = 367,560/x
  3. Step 3: Cross multiply
    286,596x = 367,560 × 367,560
  4. Step 4: Simplify right side
    286,596x = 135,100,353,600
  5. Step 5: Solve for x
    x = 135,100,353,600/286,596
  6. Step 6: Final answer
    x = 471,396.51

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.