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Finding the Third Proportional to 436,873 and 659,323.50

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Solution

The third proportional to 436,873 and 659,323.50 is: 995,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,873 : 659,323.50 = 659,323.50 : x
  2. Step 2: Convert to fraction form
    436,873/659,323.50 = 659,323.50/x
  3. Step 3: Cross multiply
    436,873x = 659,323.50 × 659,323.50
  4. Step 4: Simplify right side
    436,873x = 434,707,477,652.25
  5. Step 5: Solve for x
    x = 434,707,477,652.25/436,873
  6. Step 6: Final answer
    x = 995,043.13

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