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Finding the Third Proportional to 600,186.38 and 920,261.25

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Solution

The third proportional to 600,186.38 and 920,261.25 is: 1,411,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,186.38 : 920,261.25 = 920,261.25 : x
  2. Step 2: Convert to fraction form
    600,186.38/920,261.25 = 920,261.25/x
  3. Step 3: Cross multiply
    600,186.38x = 920,261.25 × 920,261.25
  4. Step 4: Simplify right side
    600,186.38x = 846,880,768,251.56
  5. Step 5: Solve for x
    x = 846,880,768,251.56/600,186.38
  6. Step 6: Final answer
    x = 1,411,029.65

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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.