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Finding the Third Proportional to 351,097 and 529,747.50

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Solution

The third proportional to 351,097 and 529,747.50 is: 799,301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,097 : 529,747.50 = 529,747.50 : x
  2. Step 2: Convert to fraction form
    351,097/529,747.50 = 529,747.50/x
  3. Step 3: Cross multiply
    351,097x = 529,747.50 × 529,747.50
  4. Step 4: Simplify right side
    351,097x = 280,632,413,756.25
  5. Step 5: Solve for x
    x = 280,632,413,756.25/351,097
  6. Step 6: Final answer
    x = 799,301.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.