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Finding the Third Proportional to 344,184 and 738,190

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Solution

The third proportional to 344,184 and 738,190 is: 1,583,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,184 : 738,190 = 738,190 : x
  2. Step 2: Convert to fraction form
    344,184/738,190 = 738,190/x
  3. Step 3: Cross multiply
    344,184x = 738,190 × 738,190
  4. Step 4: Simplify right side
    344,184x = 544,924,476,100
  5. Step 5: Solve for x
    x = 544,924,476,100/344,184
  6. Step 6: Final answer
    x = 1,583,235.93

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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.