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Finding the Third Proportional to 568,256 and 882,264

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Solution

The third proportional to 568,256 and 882,264 is: 1,369,787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,256 : 882,264 = 882,264 : x
  2. Step 2: Convert to fraction form
    568,256/882,264 = 882,264/x
  3. Step 3: Cross multiply
    568,256x = 882,264 × 882,264
  4. Step 4: Simplify right side
    568,256x = 778,389,765,696
  5. Step 5: Solve for x
    x = 778,389,765,696/568,256
  6. Step 6: Final answer
    x = 1,369,787.15

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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.