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Finding the Third Proportional to 283,776 and 445,248

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Solution

The third proportional to 283,776 and 445,248 is: 698,599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,776 : 445,248 = 445,248 : x
  2. Step 2: Convert to fraction form
    283,776/445,248 = 445,248/x
  3. Step 3: Cross multiply
    283,776x = 445,248 × 445,248
  4. Step 4: Simplify right side
    283,776x = 198,245,781,504
  5. Step 5: Solve for x
    x = 198,245,781,504/283,776
  6. Step 6: Final answer
    x = 698,599.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.