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Finding the Third Proportional to 362,474 and 533,019

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Solution

The third proportional to 362,474 and 533,019 is: 783,805.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,474 : 533,019 = 533,019 : x
  2. Step 2: Convert to fraction form
    362,474/533,019 = 533,019/x
  3. Step 3: Cross multiply
    362,474x = 533,019 × 533,019
  4. Step 4: Simplify right side
    362,474x = 284,109,254,361
  5. Step 5: Solve for x
    x = 284,109,254,361/362,474
  6. Step 6: Final answer
    x = 783,805.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.