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Finding the Third Proportional to 345,498.75 and 529,183.13

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Solution

The third proportional to 345,498.75 and 529,183.13 is: 810,523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,498.75 : 529,183.13 = 529,183.13 : x
  2. Step 2: Convert to fraction form
    345,498.75/529,183.13 = 529,183.13/x
  3. Step 3: Cross multiply
    345,498.75x = 529,183.13 × 529,183.13
  4. Step 4: Simplify right side
    345,498.75x = 280,034,779,784.77
  5. Step 5: Solve for x
    x = 280,034,779,784.77/345,498.75
  6. Step 6: Final answer
    x = 810,523.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.