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Finding the Third Proportional to 344,676 and 739,272

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Solution

The third proportional to 344,676 and 739,272 is: 1,585,614.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,676 : 739,272 = 739,272 : x
  2. Step 2: Convert to fraction form
    344,676/739,272 = 739,272/x
  3. Step 3: Cross multiply
    344,676x = 739,272 × 739,272
  4. Step 4: Simplify right side
    344,676x = 546,523,089,984
  5. Step 5: Solve for x
    x = 546,523,089,984/344,676
  6. Step 6: Final answer
    x = 1,585,614.00

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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.