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Finding the Third Proportional to 460,078 and 706,181

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Solution

The third proportional to 460,078 and 706,181 is: 1,083,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,078 : 706,181 = 706,181 : x
  2. Step 2: Convert to fraction form
    460,078/706,181 = 706,181/x
  3. Step 3: Cross multiply
    460,078x = 706,181 × 706,181
  4. Step 4: Simplify right side
    460,078x = 498,691,604,761
  5. Step 5: Solve for x
    x = 498,691,604,761/460,078
  6. Step 6: Final answer
    x = 1,083,928.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.