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Finding the Third Proportional to 245,570 and 379,203

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Solution

The third proportional to 245,570 and 379,203 is: 585,555.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,570 : 379,203 = 379,203 : x
  2. Step 2: Convert to fraction form
    245,570/379,203 = 379,203/x
  3. Step 3: Cross multiply
    245,570x = 379,203 × 379,203
  4. Step 4: Simplify right side
    245,570x = 143,794,915,209
  5. Step 5: Solve for x
    x = 143,794,915,209/245,570
  6. Step 6: Final answer
    x = 585,555.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.