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Finding the Third Proportional to 357,186 and 552,571

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Solution

The third proportional to 357,186 and 552,571 is: 854,833.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,186 : 552,571 = 552,571 : x
  2. Step 2: Convert to fraction form
    357,186/552,571 = 552,571/x
  3. Step 3: Cross multiply
    357,186x = 552,571 × 552,571
  4. Step 4: Simplify right side
    357,186x = 305,334,710,041
  5. Step 5: Solve for x
    x = 305,334,710,041/357,186
  6. Step 6: Final answer
    x = 854,833.92

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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.