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Finding the Third Proportional to 376,094 and 587,023

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Solution

The third proportional to 376,094 and 587,023 is: 916,249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,094 : 587,023 = 587,023 : x
  2. Step 2: Convert to fraction form
    376,094/587,023 = 587,023/x
  3. Step 3: Cross multiply
    376,094x = 587,023 × 587,023
  4. Step 4: Simplify right side
    376,094x = 344,596,002,529
  5. Step 5: Solve for x
    x = 344,596,002,529/376,094
  6. Step 6: Final answer
    x = 916,249.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.