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Finding the Third Proportional to 234,454 and 362,806

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Solution

The third proportional to 234,454 and 362,806 is: 561,424.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,454 : 362,806 = 362,806 : x
  2. Step 2: Convert to fraction form
    234,454/362,806 = 362,806/x
  3. Step 3: Cross multiply
    234,454x = 362,806 × 362,806
  4. Step 4: Simplify right side
    234,454x = 131,628,193,636
  5. Step 5: Solve for x
    x = 131,628,193,636/234,454
  6. Step 6: Final answer
    x = 561,424.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.