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Finding the Third Proportional to 403,881.38 and 633,623.06

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Solution

The third proportional to 403,881.38 and 633,623.06 is: 994,049.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,881.38 : 633,623.06 = 633,623.06 : x
  2. Step 2: Convert to fraction form
    403,881.38/633,623.06 = 633,623.06/x
  3. Step 3: Cross multiply
    403,881.38x = 633,623.06 × 633,623.06
  4. Step 4: Simplify right side
    403,881.38x = 401,478,185,331.88
  5. Step 5: Solve for x
    x = 401,478,185,331.88/403,881.38
  6. Step 6: Final answer
    x = 994,049.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.