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Finding the Third Proportional to 282,777 and 609,834

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Solution

The third proportional to 282,777 and 609,834 is: 1,315,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,777 : 609,834 = 609,834 : x
  2. Step 2: Convert to fraction form
    282,777/609,834 = 609,834/x
  3. Step 3: Cross multiply
    282,777x = 609,834 × 609,834
  4. Step 4: Simplify right side
    282,777x = 371,897,507,556
  5. Step 5: Solve for x
    x = 371,897,507,556/282,777
  6. Step 6: Final answer
    x = 1,315,161.80

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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.