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Finding the Third Proportional to 460,170 and 706,333.50

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Solution

The third proportional to 460,170 and 706,333.50 is: 1,084,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,170 : 706,333.50 = 706,333.50 : x
  2. Step 2: Convert to fraction form
    460,170/706,333.50 = 706,333.50/x
  3. Step 3: Cross multiply
    460,170x = 706,333.50 × 706,333.50
  4. Step 4: Simplify right side
    460,170x = 498,907,013,222.25
  5. Step 5: Solve for x
    x = 498,907,013,222.25/460,170
  6. Step 6: Final answer
    x = 1,084,179.79

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