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Finding the Third Proportional to 366,998 and 562,160

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Solution

The third proportional to 366,998 and 562,160 is: 861,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,998 : 562,160 = 562,160 : x
  2. Step 2: Convert to fraction form
    366,998/562,160 = 562,160/x
  3. Step 3: Cross multiply
    366,998x = 562,160 × 562,160
  4. Step 4: Simplify right side
    366,998x = 316,023,865,600
  5. Step 5: Solve for x
    x = 316,023,865,600/366,998
  6. Step 6: Final answer
    x = 861,105.14

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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.