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Finding the Third Proportional to 283,146 and 426,906

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Solution

The third proportional to 283,146 and 426,906 is: 643,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,146 : 426,906 = 426,906 : x
  2. Step 2: Convert to fraction form
    283,146/426,906 = 426,906/x
  3. Step 3: Cross multiply
    283,146x = 426,906 × 426,906
  4. Step 4: Simplify right side
    283,146x = 182,248,732,836
  5. Step 5: Solve for x
    x = 182,248,732,836/283,146
  6. Step 6: Final answer
    x = 643,656.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.