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Finding the Third Proportional to 284,426.44 and 611,062.59

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Solution

The third proportional to 284,426.44 and 611,062.59 is: 1,312,808.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,426.44 : 611,062.59 = 611,062.59 : x
  2. Step 2: Convert to fraction form
    284,426.44/611,062.59 = 611,062.59/x
  3. Step 3: Cross multiply
    284,426.44x = 611,062.59 × 611,062.59
  4. Step 4: Simplify right side
    284,426.44x = 373,397,493,480.48
  5. Step 5: Solve for x
    x = 373,397,493,480.48/284,426.44
  6. Step 6: Final answer
    x = 1,312,808.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.