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Finding the Third Proportional to 185,570.50 and 406,608

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Solution

The third proportional to 185,570.50 and 406,608 is: 890,928.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,570.50 : 406,608 = 406,608 : x
  2. Step 2: Convert to fraction form
    185,570.50/406,608 = 406,608/x
  3. Step 3: Cross multiply
    185,570.50x = 406,608 × 406,608
  4. Step 4: Simplify right side
    185,570.50x = 165,330,065,664
  5. Step 5: Solve for x
    x = 165,330,065,664/185,570.50
  6. Step 6: Final answer
    x = 890,928.60

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.