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Finding the Third Proportional to 286,850 and 421,925

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Solution

The third proportional to 286,850 and 421,925 is: 620,605.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,850 : 421,925 = 421,925 : x
  2. Step 2: Convert to fraction form
    286,850/421,925 = 421,925/x
  3. Step 3: Cross multiply
    286,850x = 421,925 × 421,925
  4. Step 4: Simplify right side
    286,850x = 178,020,705,625
  5. Step 5: Solve for x
    x = 178,020,705,625/286,850
  6. Step 6: Final answer
    x = 620,605.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.