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Finding the Third Proportional to 284,527 and 595,356

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Solution

The third proportional to 284,527 and 595,356 is: 1,245,747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,527 : 595,356 = 595,356 : x
  2. Step 2: Convert to fraction form
    284,527/595,356 = 595,356/x
  3. Step 3: Cross multiply
    284,527x = 595,356 × 595,356
  4. Step 4: Simplify right side
    284,527x = 354,448,766,736
  5. Step 5: Solve for x
    x = 354,448,766,736/284,527
  6. Step 6: Final answer
    x = 1,245,747.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.