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Finding the Third Proportional to 340,795.69 and 529,156.97

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Solution

The third proportional to 340,795.69 and 529,156.97 is: 821,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,795.69 : 529,156.97 = 529,156.97 : x
  2. Step 2: Convert to fraction form
    340,795.69/529,156.97 = 529,156.97/x
  3. Step 3: Cross multiply
    340,795.69x = 529,156.97 × 529,156.97
  4. Step 4: Simplify right side
    340,795.69x = 280,007,097,576.69
  5. Step 5: Solve for x
    x = 280,007,097,576.69/340,795.69
  6. Step 6: Final answer
    x = 821,627.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.