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Finding the Third Proportional to 431,264 and 617,538

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Solution

The third proportional to 431,264 and 617,538 is: 884,268.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,264 : 617,538 = 617,538 : x
  2. Step 2: Convert to fraction form
    431,264/617,538 = 617,538/x
  3. Step 3: Cross multiply
    431,264x = 617,538 × 617,538
  4. Step 4: Simplify right side
    431,264x = 381,353,181,444
  5. Step 5: Solve for x
    x = 381,353,181,444/431,264
  6. Step 6: Final answer
    x = 884,268.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.