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Finding the Third Proportional to 284,508 and 474,114

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Solution

The third proportional to 284,508 and 474,114 is: 790,080.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,508 : 474,114 = 474,114 : x
  2. Step 2: Convert to fraction form
    284,508/474,114 = 474,114/x
  3. Step 3: Cross multiply
    284,508x = 474,114 × 474,114
  4. Step 4: Simplify right side
    284,508x = 224,784,084,996
  5. Step 5: Solve for x
    x = 224,784,084,996/284,508
  6. Step 6: Final answer
    x = 790,080.02

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.