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Finding the Third Proportional to 281,856 and 618,006

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Solution

The third proportional to 281,856 and 618,006 is: 1,355,058.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,856 : 618,006 = 618,006 : x
  2. Step 2: Convert to fraction form
    281,856/618,006 = 618,006/x
  3. Step 3: Cross multiply
    281,856x = 618,006 × 618,006
  4. Step 4: Simplify right side
    281,856x = 381,931,416,036
  5. Step 5: Solve for x
    x = 381,931,416,036/281,856
  6. Step 6: Final answer
    x = 1,355,058.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.