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Finding the Third Proportional to 357,186 and 552,573

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Solution

The third proportional to 357,186 and 552,573 is: 854,840.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,186 : 552,573 = 552,573 : x
  2. Step 2: Convert to fraction form
    357,186/552,573 = 552,573/x
  3. Step 3: Cross multiply
    357,186x = 552,573 × 552,573
  4. Step 4: Simplify right side
    357,186x = 305,336,920,329
  5. Step 5: Solve for x
    x = 305,336,920,329/357,186
  6. Step 6: Final answer
    x = 854,840.11

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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.