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Finding the Third Proportional to 284,322 and 608,008

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Solution

The third proportional to 284,322 and 608,008 is: 1,300,193.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,322 : 608,008 = 608,008 : x
  2. Step 2: Convert to fraction form
    284,322/608,008 = 608,008/x
  3. Step 3: Cross multiply
    284,322x = 608,008 × 608,008
  4. Step 4: Simplify right side
    284,322x = 369,673,728,064
  5. Step 5: Solve for x
    x = 369,673,728,064/284,322
  6. Step 6: Final answer
    x = 1,300,193.89

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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.