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Finding the Third Proportional to 403,862.25 and 633,596.63

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Solution

The third proportional to 403,862.25 and 633,596.63 is: 994,013.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,862.25 : 633,596.63 = 633,596.63 : x
  2. Step 2: Convert to fraction form
    403,862.25/633,596.63 = 633,596.63/x
  3. Step 3: Cross multiply
    403,862.25x = 633,596.63 × 633,596.63
  4. Step 4: Simplify right side
    403,862.25x = 401,444,683,211.39
  5. Step 5: Solve for x
    x = 401,444,683,211.39/403,862.25
  6. Step 6: Final answer
    x = 994,013.88

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