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Finding the Third Proportional to 281,683.50 and 603,444

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Solution

The third proportional to 281,683.50 and 603,444 is: 1,292,744.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,683.50 : 603,444 = 603,444 : x
  2. Step 2: Convert to fraction form
    281,683.50/603,444 = 603,444/x
  3. Step 3: Cross multiply
    281,683.50x = 603,444 × 603,444
  4. Step 4: Simplify right side
    281,683.50x = 364,144,661,136
  5. Step 5: Solve for x
    x = 364,144,661,136/281,683.50
  6. Step 6: Final answer
    x = 1,292,744.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.