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Finding the Third Proportional to 374,166 and 801,414

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Solution

The third proportional to 374,166 and 801,414 is: 1,716,522.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,166 : 801,414 = 801,414 : x
  2. Step 2: Convert to fraction form
    374,166/801,414 = 801,414/x
  3. Step 3: Cross multiply
    374,166x = 801,414 × 801,414
  4. Step 4: Simplify right side
    374,166x = 642,264,399,396
  5. Step 5: Solve for x
    x = 642,264,399,396/374,166
  6. Step 6: Final answer
    x = 1,716,522.61

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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.