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Finding the Third Proportional to 341,101.13 and 522,048.38

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Solution

The third proportional to 341,101.13 and 522,048.38 is: 798,984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,101.13 : 522,048.38 = 522,048.38 : x
  2. Step 2: Convert to fraction form
    341,101.13/522,048.38 = 522,048.38/x
  3. Step 3: Cross multiply
    341,101.13x = 522,048.38 × 522,048.38
  4. Step 4: Simplify right side
    341,101.13x = 272,534,505,840.14
  5. Step 5: Solve for x
    x = 272,534,505,840.14/341,101.13
  6. Step 6: Final answer
    x = 798,984.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.