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Finding the Third Proportional to 353,898 and 562,906

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Solution

The third proportional to 353,898 and 562,906 is: 895,351.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,898 : 562,906 = 562,906 : x
  2. Step 2: Convert to fraction form
    353,898/562,906 = 562,906/x
  3. Step 3: Cross multiply
    353,898x = 562,906 × 562,906
  4. Step 4: Simplify right side
    353,898x = 316,863,164,836
  5. Step 5: Solve for x
    x = 316,863,164,836/353,898
  6. Step 6: Final answer
    x = 895,351.67

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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.