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Finding the Third Proportional to 367,586 and 758,164

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Solution

The third proportional to 367,586 and 758,164 is: 1,563,750.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,586 : 758,164 = 758,164 : x
  2. Step 2: Convert to fraction form
    367,586/758,164 = 758,164/x
  3. Step 3: Cross multiply
    367,586x = 758,164 × 758,164
  4. Step 4: Simplify right side
    367,586x = 574,812,650,896
  5. Step 5: Solve for x
    x = 574,812,650,896/367,586
  6. Step 6: Final answer
    x = 1,563,750.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.