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Finding the Third Proportional to 374,989.50 and 580,790.25

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Solution

The third proportional to 374,989.50 and 580,790.25 is: 899,538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,989.50 : 580,790.25 = 580,790.25 : x
  2. Step 2: Convert to fraction form
    374,989.50/580,790.25 = 580,790.25/x
  3. Step 3: Cross multiply
    374,989.50x = 580,790.25 × 580,790.25
  4. Step 4: Simplify right side
    374,989.50x = 337,317,314,495.06
  5. Step 5: Solve for x
    x = 337,317,314,495.06/374,989.50
  6. Step 6: Final answer
    x = 899,538.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.