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Finding the Third Proportional to 367,764 and 562,348

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Solution

The third proportional to 367,764 and 562,348 is: 859,886.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,764 : 562,348 = 562,348 : x
  2. Step 2: Convert to fraction form
    367,764/562,348 = 562,348/x
  3. Step 3: Cross multiply
    367,764x = 562,348 × 562,348
  4. Step 4: Simplify right side
    367,764x = 316,235,273,104
  5. Step 5: Solve for x
    x = 316,235,273,104/367,764
  6. Step 6: Final answer
    x = 859,886.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.