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Finding the Third Proportional to 284,002 and 607,900

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Solution

The third proportional to 284,002 and 607,900 is: 1,301,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,002 : 607,900 = 607,900 : x
  2. Step 2: Convert to fraction form
    284,002/607,900 = 607,900/x
  3. Step 3: Cross multiply
    284,002x = 607,900 × 607,900
  4. Step 4: Simplify right side
    284,002x = 369,542,410,000
  5. Step 5: Solve for x
    x = 369,542,410,000/284,002
  6. Step 6: Final answer
    x = 1,301,196.51

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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.