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Finding the Third Proportional to 344,349 and 730,381

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Solution

The third proportional to 344,349 and 730,381 is: 1,549,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,349 : 730,381 = 730,381 : x
  2. Step 2: Convert to fraction form
    344,349/730,381 = 730,381/x
  3. Step 3: Cross multiply
    344,349x = 730,381 × 730,381
  4. Step 4: Simplify right side
    344,349x = 533,456,405,161
  5. Step 5: Solve for x
    x = 533,456,405,161/344,349
  6. Step 6: Final answer
    x = 1,549,173.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.