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Finding the Third Proportional to 284,016 and 445,528

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Solution

The third proportional to 284,016 and 445,528 is: 698,887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,016 : 445,528 = 445,528 : x
  2. Step 2: Convert to fraction form
    284,016/445,528 = 445,528/x
  3. Step 3: Cross multiply
    284,016x = 445,528 × 445,528
  4. Step 4: Simplify right side
    284,016x = 198,495,198,784
  5. Step 5: Solve for x
    x = 198,495,198,784/284,016
  6. Step 6: Final answer
    x = 698,887.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.