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Finding the Third Proportional to 338,530.09 and 525,872.17

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Solution

The third proportional to 338,530.09 and 525,872.17 is: 816,889.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,530.09 : 525,872.17 = 525,872.17 : x
  2. Step 2: Convert to fraction form
    338,530.09/525,872.17 = 525,872.17/x
  3. Step 3: Cross multiply
    338,530.09x = 525,872.17 × 525,872.17
  4. Step 4: Simplify right side
    338,530.09x = 276,541,540,125.43
  5. Step 5: Solve for x
    x = 276,541,540,125.43/338,530.09
  6. Step 6: Final answer
    x = 816,889.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.