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Finding the Third Proportional to 282,814 and 609,907

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Solution

The third proportional to 282,814 and 609,907 is: 1,315,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,814 : 609,907 = 609,907 : x
  2. Step 2: Convert to fraction form
    282,814/609,907 = 609,907/x
  3. Step 3: Cross multiply
    282,814x = 609,907 × 609,907
  4. Step 4: Simplify right side
    282,814x = 371,986,548,649
  5. Step 5: Solve for x
    x = 371,986,548,649/282,814
  6. Step 6: Final answer
    x = 1,315,304.58

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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.