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Finding the Third Proportional to 431,261 and 617,533

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Solution

The third proportional to 431,261 and 617,533 is: 884,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,261 : 617,533 = 617,533 : x
  2. Step 2: Convert to fraction form
    431,261/617,533 = 617,533/x
  3. Step 3: Cross multiply
    431,261x = 617,533 × 617,533
  4. Step 4: Simplify right side
    431,261x = 381,347,006,089
  5. Step 5: Solve for x
    x = 381,347,006,089/431,261
  6. Step 6: Final answer
    x = 884,260.36

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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.