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Finding the Third Proportional to 280,904.63 and 614,361.38

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Solution

The third proportional to 280,904.63 and 614,361.38 is: 1,343,658.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,904.63 : 614,361.38 = 614,361.38 : x
  2. Step 2: Convert to fraction form
    280,904.63/614,361.38 = 614,361.38/x
  3. Step 3: Cross multiply
    280,904.63x = 614,361.38 × 614,361.38
  4. Step 4: Simplify right side
    280,904.63x = 377,439,899,091.89
  5. Step 5: Solve for x
    x = 377,439,899,091.89/280,904.63
  6. Step 6: Final answer
    x = 1,343,658.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.