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Finding the Third Proportional to 568,284 and 882,306

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Solution

The third proportional to 568,284 and 882,306 is: 1,369,850.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,284 : 882,306 = 882,306 : x
  2. Step 2: Convert to fraction form
    568,284/882,306 = 882,306/x
  3. Step 3: Cross multiply
    568,284x = 882,306 × 882,306
  4. Step 4: Simplify right side
    568,284x = 778,463,877,636
  5. Step 5: Solve for x
    x = 778,463,877,636/568,284
  6. Step 6: Final answer
    x = 1,369,850.07

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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.