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Finding the Third Proportional to 568,251 and 882,255

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Solution

The third proportional to 568,251 and 882,255 is: 1,369,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,251 : 882,255 = 882,255 : x
  2. Step 2: Convert to fraction form
    568,251/882,255 = 882,255/x
  3. Step 3: Cross multiply
    568,251x = 882,255 × 882,255
  4. Step 4: Simplify right side
    568,251x = 778,373,885,025
  5. Step 5: Solve for x
    x = 778,373,885,025/568,251
  6. Step 6: Final answer
    x = 1,369,771.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.