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Finding the Third Proportional to 374,491.50 and 801,471

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Solution

The third proportional to 374,491.50 and 801,471 is: 1,715,274.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,491.50 : 801,471 = 801,471 : x
  2. Step 2: Convert to fraction form
    374,491.50/801,471 = 801,471/x
  3. Step 3: Cross multiply
    374,491.50x = 801,471 × 801,471
  4. Step 4: Simplify right side
    374,491.50x = 642,355,763,841
  5. Step 5: Solve for x
    x = 642,355,763,841/374,491.50
  6. Step 6: Final answer
    x = 1,715,274.62

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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.