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Finding the Third Proportional to 282,697 and 609,679

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Solution

The third proportional to 282,697 and 609,679 is: 1,314,865.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,697 : 609,679 = 609,679 : x
  2. Step 2: Convert to fraction form
    282,697/609,679 = 609,679/x
  3. Step 3: Cross multiply
    282,697x = 609,679 × 609,679
  4. Step 4: Simplify right side
    282,697x = 371,708,483,041
  5. Step 5: Solve for x
    x = 371,708,483,041/282,697
  6. Step 6: Final answer
    x = 1,314,865.33

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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.