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Finding the Third Proportional to 344,483 and 738,793

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Solution

The third proportional to 344,483 and 738,793 is: 1,584,447.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,483 : 738,793 = 738,793 : x
  2. Step 2: Convert to fraction form
    344,483/738,793 = 738,793/x
  3. Step 3: Cross multiply
    344,483x = 738,793 × 738,793
  4. Step 4: Simplify right side
    344,483x = 545,815,096,849
  5. Step 5: Solve for x
    x = 545,815,096,849/344,483
  6. Step 6: Final answer
    x = 1,584,447.12

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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.