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Finding the Third Proportional to 434,199.75 and 620,339.75

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Solution

The third proportional to 434,199.75 and 620,339.75 is: 886,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,199.75 : 620,339.75 = 620,339.75 : x
  2. Step 2: Convert to fraction form
    434,199.75/620,339.75 = 620,339.75/x
  3. Step 3: Cross multiply
    434,199.75x = 620,339.75 × 620,339.75
  4. Step 4: Simplify right side
    434,199.75x = 384,821,405,430.06
  5. Step 5: Solve for x
    x = 384,821,405,430.06/434,199.75
  6. Step 6: Final answer
    x = 886,277.35

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.