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Finding the Third Proportional to 283,902.75 and 436,379.25

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Solution

The third proportional to 283,902.75 and 436,379.25 is: 670,746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,902.75 : 436,379.25 = 436,379.25 : x
  2. Step 2: Convert to fraction form
    283,902.75/436,379.25 = 436,379.25/x
  3. Step 3: Cross multiply
    283,902.75x = 436,379.25 × 436,379.25
  4. Step 4: Simplify right side
    283,902.75x = 190,426,849,830.56
  5. Step 5: Solve for x
    x = 190,426,849,830.56/283,902.75
  6. Step 6: Final answer
    x = 670,746.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.