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Finding the Third Proportional to 345,006 and 523,732.50

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Solution

The third proportional to 345,006 and 523,732.50 is: 795,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,006 : 523,732.50 = 523,732.50 : x
  2. Step 2: Convert to fraction form
    345,006/523,732.50 = 523,732.50/x
  3. Step 3: Cross multiply
    345,006x = 523,732.50 × 523,732.50
  4. Step 4: Simplify right side
    345,006x = 274,295,731,556.25
  5. Step 5: Solve for x
    x = 274,295,731,556.25/345,006
  6. Step 6: Final answer
    x = 795,046.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.