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Finding the Third Proportional to 374,600 and 802,795

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Solution

The third proportional to 374,600 and 802,795 is: 1,720,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,600 : 802,795 = 802,795 : x
  2. Step 2: Convert to fraction form
    374,600/802,795 = 802,795/x
  3. Step 3: Cross multiply
    374,600x = 802,795 × 802,795
  4. Step 4: Simplify right side
    374,600x = 644,479,812,025
  5. Step 5: Solve for x
    x = 644,479,812,025/374,600
  6. Step 6: Final answer
    x = 1,720,447.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.