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Finding the Third Proportional to 367,599 and 562,213

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Solution

The third proportional to 367,599 and 562,213 is: 859,859.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,599 : 562,213 = 562,213 : x
  2. Step 2: Convert to fraction form
    367,599/562,213 = 562,213/x
  3. Step 3: Cross multiply
    367,599x = 562,213 × 562,213
  4. Step 4: Simplify right side
    367,599x = 316,083,457,369
  5. Step 5: Solve for x
    x = 316,083,457,369/367,599
  6. Step 6: Final answer
    x = 859,859.40

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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.