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Finding the Third Proportional to 367,588 and 562,195

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Solution

The third proportional to 367,588 and 562,195 is: 859,830.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,588 : 562,195 = 562,195 : x
  2. Step 2: Convert to fraction form
    367,588/562,195 = 562,195/x
  3. Step 3: Cross multiply
    367,588x = 562,195 × 562,195
  4. Step 4: Simplify right side
    367,588x = 316,063,218,025
  5. Step 5: Solve for x
    x = 316,063,218,025/367,588
  6. Step 6: Final answer
    x = 859,830.08

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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.