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Finding the Third Proportional to 373,135 and 562,825

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Solution

The third proportional to 373,135 and 562,825 is: 848,947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,135 : 562,825 = 562,825 : x
  2. Step 2: Convert to fraction form
    373,135/562,825 = 562,825/x
  3. Step 3: Cross multiply
    373,135x = 562,825 × 562,825
  4. Step 4: Simplify right side
    373,135x = 316,771,980,625
  5. Step 5: Solve for x
    x = 316,771,980,625/373,135
  6. Step 6: Final answer
    x = 848,947.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.