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Finding the Third Proportional to 284,532 and 595,368.75

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Solution

The third proportional to 284,532 and 595,368.75 is: 1,245,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,532 : 595,368.75 = 595,368.75 : x
  2. Step 2: Convert to fraction form
    284,532/595,368.75 = 595,368.75/x
  3. Step 3: Cross multiply
    284,532x = 595,368.75 × 595,368.75
  4. Step 4: Simplify right side
    284,532x = 354,463,948,476.56
  5. Step 5: Solve for x
    x = 354,463,948,476.56/284,532
  6. Step 6: Final answer
    x = 1,245,778.85

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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.