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Finding the Third Proportional to 600,189 and 920,266.50

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Solution

The third proportional to 600,189 and 920,266.50 is: 1,411,039.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,189 : 920,266.50 = 920,266.50 : x
  2. Step 2: Convert to fraction form
    600,189/920,266.50 = 920,266.50/x
  3. Step 3: Cross multiply
    600,189x = 920,266.50 × 920,266.50
  4. Step 4: Simplify right side
    600,189x = 846,890,431,022.25
  5. Step 5: Solve for x
    x = 846,890,431,022.25/600,189
  6. Step 6: Final answer
    x = 1,411,039.57

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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.