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Finding the Third Proportional to 284,538 and 595,382

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Solution

The third proportional to 284,538 and 595,382 is: 1,245,808.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,538 : 595,382 = 595,382 : x
  2. Step 2: Convert to fraction form
    284,538/595,382 = 595,382/x
  3. Step 3: Cross multiply
    284,538x = 595,382 × 595,382
  4. Step 4: Simplify right side
    284,538x = 354,479,725,924
  5. Step 5: Solve for x
    x = 354,479,725,924/284,538
  6. Step 6: Final answer
    x = 1,245,808.03

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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.