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Finding the Third Proportional to 367,054 and 680,707

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Solution

The third proportional to 367,054 and 680,707 is: 1,262,381.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,054 : 680,707 = 680,707 : x
  2. Step 2: Convert to fraction form
    367,054/680,707 = 680,707/x
  3. Step 3: Cross multiply
    367,054x = 680,707 × 680,707
  4. Step 4: Simplify right side
    367,054x = 463,362,019,849
  5. Step 5: Solve for x
    x = 463,362,019,849/367,054
  6. Step 6: Final answer
    x = 1,262,381.07

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.