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Finding the Third Proportional to 345,147.75 and 529,772.06

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Solution

The third proportional to 345,147.75 and 529,772.06 is: 813,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,147.75 : 529,772.06 = 529,772.06 : x
  2. Step 2: Convert to fraction form
    345,147.75/529,772.06 = 529,772.06/x
  3. Step 3: Cross multiply
    345,147.75x = 529,772.06 × 529,772.06
  4. Step 4: Simplify right side
    345,147.75x = 280,658,438,205.50
  5. Step 5: Solve for x
    x = 280,658,438,205.50/345,147.75
  6. Step 6: Final answer
    x = 813,154.48

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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.