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Finding the Third Proportional to 344,175 and 738,174

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Solution

The third proportional to 344,175 and 738,174 is: 1,583,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,175 : 738,174 = 738,174 : x
  2. Step 2: Convert to fraction form
    344,175/738,174 = 738,174/x
  3. Step 3: Cross multiply
    344,175x = 738,174 × 738,174
  4. Step 4: Simplify right side
    344,175x = 544,900,854,276
  5. Step 5: Solve for x
    x = 544,900,854,276/344,175
  6. Step 6: Final answer
    x = 1,583,208.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.