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Finding the Third Proportional to 351,073 and 756,223

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Solution

The third proportional to 351,073 and 756,223 is: 1,628,929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,073 : 756,223 = 756,223 : x
  2. Step 2: Convert to fraction form
    351,073/756,223 = 756,223/x
  3. Step 3: Cross multiply
    351,073x = 756,223 × 756,223
  4. Step 4: Simplify right side
    351,073x = 571,873,225,729
  5. Step 5: Solve for x
    x = 571,873,225,729/351,073
  6. Step 6: Final answer
    x = 1,628,929.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.