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Finding the Third Proportional to 202,986 and 438,459.75

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Solution

The third proportional to 202,986 and 438,459.75 is: 947,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,986 : 438,459.75 = 438,459.75 : x
  2. Step 2: Convert to fraction form
    202,986/438,459.75 = 438,459.75/x
  3. Step 3: Cross multiply
    202,986x = 438,459.75 × 438,459.75
  4. Step 4: Simplify right side
    202,986x = 192,246,952,370.06
  5. Step 5: Solve for x
    x = 192,246,952,370.06/202,986
  6. Step 6: Final answer
    x = 947,094.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.