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Finding the Third Proportional to 344,846 and 538,221

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Solution

The third proportional to 344,846 and 538,221 is: 840,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,846 : 538,221 = 538,221 : x
  2. Step 2: Convert to fraction form
    344,846/538,221 = 538,221/x
  3. Step 3: Cross multiply
    344,846x = 538,221 × 538,221
  4. Step 4: Simplify right side
    344,846x = 289,681,844,841
  5. Step 5: Solve for x
    x = 289,681,844,841/344,846
  6. Step 6: Final answer
    x = 840,032.49

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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.