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Finding the Third Proportional to 357,180 and 552,564

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Solution

The third proportional to 357,180 and 552,564 is: 854,826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,180 : 552,564 = 552,564 : x
  2. Step 2: Convert to fraction form
    357,180/552,564 = 552,564/x
  3. Step 3: Cross multiply
    357,180x = 552,564 × 552,564
  4. Step 4: Simplify right side
    357,180x = 305,326,974,096
  5. Step 5: Solve for x
    x = 305,326,974,096/357,180
  6. Step 6: Final answer
    x = 854,826.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.