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Finding the Third Proportional to 344,844 and 538,218

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Solution

The third proportional to 344,844 and 538,218 is: 840,028.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,844 : 538,218 = 538,218 : x
  2. Step 2: Convert to fraction form
    344,844/538,218 = 538,218/x
  3. Step 3: Cross multiply
    344,844x = 538,218 × 538,218
  4. Step 4: Simplify right side
    344,844x = 289,678,615,524
  5. Step 5: Solve for x
    x = 289,678,615,524/344,844
  6. Step 6: Final answer
    x = 840,028.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.