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Finding the Third Proportional to 245,580 and 379,218

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Solution

The third proportional to 245,580 and 379,218 is: 585,578.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,580 : 379,218 = 379,218 : x
  2. Step 2: Convert to fraction form
    245,580/379,218 = 379,218/x
  3. Step 3: Cross multiply
    245,580x = 379,218 × 379,218
  4. Step 4: Simplify right side
    245,580x = 143,806,291,524
  5. Step 5: Solve for x
    x = 143,806,291,524/245,580
  6. Step 6: Final answer
    x = 585,578.19

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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.