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Finding the Third Proportional to 284,852 and 607,826

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Solution

The third proportional to 284,852 and 607,826 is: 1,296,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,852 : 607,826 = 607,826 : x
  2. Step 2: Convert to fraction form
    284,852/607,826 = 607,826/x
  3. Step 3: Cross multiply
    284,852x = 607,826 × 607,826
  4. Step 4: Simplify right side
    284,852x = 369,452,446,276
  5. Step 5: Solve for x
    x = 369,452,446,276/284,852
  6. Step 6: Final answer
    x = 1,296,997.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.