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Finding the Third Proportional to 338,127.75 and 522,858.38

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Solution

The third proportional to 338,127.75 and 522,858.38 is: 808,513.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,127.75 : 522,858.38 = 522,858.38 : x
  2. Step 2: Convert to fraction form
    338,127.75/522,858.38 = 522,858.38/x
  3. Step 3: Cross multiply
    338,127.75x = 522,858.38 × 522,858.38
  4. Step 4: Simplify right side
    338,127.75x = 273,380,880,307.64
  5. Step 5: Solve for x
    x = 273,380,880,307.64/338,127.75
  6. Step 6: Final answer
    x = 808,513.59

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Why These Related Problems?

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