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Finding the Third Proportional to 219,760 and 473,647

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Solution

The third proportional to 219,760 and 473,647 is: 1,020,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,760 : 473,647 = 473,647 : x
  2. Step 2: Convert to fraction form
    219,760/473,647 = 473,647/x
  3. Step 3: Cross multiply
    219,760x = 473,647 × 473,647
  4. Step 4: Simplify right side
    219,760x = 224,341,480,609
  5. Step 5: Solve for x
    x = 224,341,480,609/219,760
  6. Step 6: Final answer
    x = 1,020,847.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.