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Finding the Third Proportional to 284,318 and 608,002

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Solution

The third proportional to 284,318 and 608,002 is: 1,300,186.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,318 : 608,002 = 608,002 : x
  2. Step 2: Convert to fraction form
    284,318/608,002 = 608,002/x
  3. Step 3: Cross multiply
    284,318x = 608,002 × 608,002
  4. Step 4: Simplify right side
    284,318x = 369,666,432,004
  5. Step 5: Solve for x
    x = 369,666,432,004/284,318
  6. Step 6: Final answer
    x = 1,300,186.52

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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.