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Finding the Third Proportional to 353,902 and 562,912

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Solution

The third proportional to 353,902 and 562,912 is: 895,360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,902 : 562,912 = 562,912 : x
  2. Step 2: Convert to fraction form
    353,902/562,912 = 562,912/x
  3. Step 3: Cross multiply
    353,902x = 562,912 × 562,912
  4. Step 4: Simplify right side
    353,902x = 316,869,919,744
  5. Step 5: Solve for x
    x = 316,869,919,744/353,902
  6. Step 6: Final answer
    x = 895,360.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.