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Finding the Third Proportional to 202,570.88 and 439,435.13

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Solution

The third proportional to 202,570.88 and 439,435.13 is: 953,262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,570.88 : 439,435.13 = 439,435.13 : x
  2. Step 2: Convert to fraction form
    202,570.88/439,435.13 = 439,435.13/x
  3. Step 3: Cross multiply
    202,570.88x = 439,435.13 × 439,435.13
  4. Step 4: Simplify right side
    202,570.88x = 193,103,229,083.77
  5. Step 5: Solve for x
    x = 193,103,229,083.77/202,570.88
  6. Step 6: Final answer
    x = 953,262.55

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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.