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Finding the Third Proportional to 284,972 and 608,083

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Solution

The third proportional to 284,972 and 608,083 is: 1,297,548.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,972 : 608,083 = 608,083 : x
  2. Step 2: Convert to fraction form
    284,972/608,083 = 608,083/x
  3. Step 3: Cross multiply
    284,972x = 608,083 × 608,083
  4. Step 4: Simplify right side
    284,972x = 369,764,934,889
  5. Step 5: Solve for x
    x = 369,764,934,889/284,972
  6. Step 6: Final answer
    x = 1,297,548.30

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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.