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Finding the Third Proportional to 368,462 and 585,908

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Solution

The third proportional to 368,462 and 585,908 is: 931,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,462 : 585,908 = 585,908 : x
  2. Step 2: Convert to fraction form
    368,462/585,908 = 585,908/x
  3. Step 3: Cross multiply
    368,462x = 585,908 × 585,908
  4. Step 4: Simplify right side
    368,462x = 343,288,184,464
  5. Step 5: Solve for x
    x = 343,288,184,464/368,462
  6. Step 6: Final answer
    x = 931,678.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.