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Finding the Third Proportional to 340,840 and 738,093

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Solution

The third proportional to 340,840 and 738,093 is: 1,598,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,840 : 738,093 = 738,093 : x
  2. Step 2: Convert to fraction form
    340,840/738,093 = 738,093/x
  3. Step 3: Cross multiply
    340,840x = 738,093 × 738,093
  4. Step 4: Simplify right side
    340,840x = 544,781,276,649
  5. Step 5: Solve for x
    x = 544,781,276,649/340,840
  6. Step 6: Final answer
    x = 1,598,349.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.