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Finding the Third Proportional to 374,494 and 801,476

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Solution

The third proportional to 374,494 and 801,476 is: 1,715,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,494 : 801,476 = 801,476 : x
  2. Step 2: Convert to fraction form
    374,494/801,476 = 801,476/x
  3. Step 3: Cross multiply
    374,494x = 801,476 × 801,476
  4. Step 4: Simplify right side
    374,494x = 642,363,778,576
  5. Step 5: Solve for x
    x = 642,363,778,576/374,494
  6. Step 6: Final answer
    x = 1,715,284.57

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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.