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Finding the Third Proportional to 568,263 and 882,276

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Solution

The third proportional to 568,263 and 882,276 is: 1,369,807.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,263 : 882,276 = 882,276 : x
  2. Step 2: Convert to fraction form
    568,263/882,276 = 882,276/x
  3. Step 3: Cross multiply
    568,263x = 882,276 × 882,276
  4. Step 4: Simplify right side
    568,263x = 778,410,940,176
  5. Step 5: Solve for x
    x = 778,410,940,176/568,263
  6. Step 6: Final answer
    x = 1,369,807.54

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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.