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Finding the Third Proportional to 202,959 and 440,494.50

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Solution

The third proportional to 202,959 and 440,494.50 is: 956,032.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,959 : 440,494.50 = 440,494.50 : x
  2. Step 2: Convert to fraction form
    202,959/440,494.50 = 440,494.50/x
  3. Step 3: Cross multiply
    202,959x = 440,494.50 × 440,494.50
  4. Step 4: Simplify right side
    202,959x = 194,035,404,530.25
  5. Step 5: Solve for x
    x = 194,035,404,530.25/202,959
  6. Step 6: Final answer
    x = 956,032.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.