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Finding the Third Proportional to 283,790 and 425,726

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Solution

The third proportional to 283,790 and 425,726 is: 638,650.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,790 : 425,726 = 425,726 : x
  2. Step 2: Convert to fraction form
    283,790/425,726 = 425,726/x
  3. Step 3: Cross multiply
    283,790x = 425,726 × 425,726
  4. Step 4: Simplify right side
    283,790x = 181,242,627,076
  5. Step 5: Solve for x
    x = 181,242,627,076/283,790
  6. Step 6: Final answer
    x = 638,650.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.