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Finding the Third Proportional to 282,823 and 609,926

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Solution

The third proportional to 282,823 and 609,926 is: 1,315,344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,823 : 609,926 = 609,926 : x
  2. Step 2: Convert to fraction form
    282,823/609,926 = 609,926/x
  3. Step 3: Cross multiply
    282,823x = 609,926 × 609,926
  4. Step 4: Simplify right side
    282,823x = 372,009,725,476
  5. Step 5: Solve for x
    x = 372,009,725,476/282,823
  6. Step 6: Final answer
    x = 1,315,344.67

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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.