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Finding the Third Proportional to 431,983 and 608,061

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Solution

The third proportional to 431,983 and 608,061 is: 855,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,983 : 608,061 = 608,061 : x
  2. Step 2: Convert to fraction form
    431,983/608,061 = 608,061/x
  3. Step 3: Cross multiply
    431,983x = 608,061 × 608,061
  4. Step 4: Simplify right side
    431,983x = 369,738,179,721
  5. Step 5: Solve for x
    x = 369,738,179,721/431,983
  6. Step 6: Final answer
    x = 855,909.10

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.