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Finding the Third Proportional to 340,804 and 529,186.75

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Solution

The third proportional to 340,804 and 529,186.75 is: 821,699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,804 : 529,186.75 = 529,186.75 : x
  2. Step 2: Convert to fraction form
    340,804/529,186.75 = 529,186.75/x
  3. Step 3: Cross multiply
    340,804x = 529,186.75 × 529,186.75
  4. Step 4: Simplify right side
    340,804x = 280,038,616,375.56
  5. Step 5: Solve for x
    x = 280,038,616,375.56/340,804
  6. Step 6: Final answer
    x = 821,699.91

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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.