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Finding the Third Proportional to 445,979 and 635,752.50

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Solution

The third proportional to 445,979 and 635,752.50 is: 906,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,979 : 635,752.50 = 635,752.50 : x
  2. Step 2: Convert to fraction form
    445,979/635,752.50 = 635,752.50/x
  3. Step 3: Cross multiply
    445,979x = 635,752.50 × 635,752.50
  4. Step 4: Simplify right side
    445,979x = 404,181,241,256.25
  5. Step 5: Solve for x
    x = 404,181,241,256.25/445,979
  6. Step 6: Final answer
    x = 906,278.64

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