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Finding the Third Proportional to 280,968.75 and 446,883.75

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Solution

The third proportional to 280,968.75 and 446,883.75 is: 710,773.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,968.75 : 446,883.75 = 446,883.75 : x
  2. Step 2: Convert to fraction form
    280,968.75/446,883.75 = 446,883.75/x
  3. Step 3: Cross multiply
    280,968.75x = 446,883.75 × 446,883.75
  4. Step 4: Simplify right side
    280,968.75x = 199,705,086,014.06
  5. Step 5: Solve for x
    x = 199,705,086,014.06/280,968.75
  6. Step 6: Final answer
    x = 710,773.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.