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Finding the Third Proportional to 259,586 and 379,524

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Solution

The third proportional to 259,586 and 379,524 is: 554,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,586 : 379,524 = 379,524 : x
  2. Step 2: Convert to fraction form
    259,586/379,524 = 379,524/x
  3. Step 3: Cross multiply
    259,586x = 379,524 × 379,524
  4. Step 4: Simplify right side
    259,586x = 144,038,466,576
  5. Step 5: Solve for x
    x = 144,038,466,576/259,586
  6. Step 6: Final answer
    x = 554,877.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.