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Finding the Third Proportional to 282,813 and 609,906

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Solution

The third proportional to 282,813 and 609,906 is: 1,315,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,813 : 609,906 = 609,906 : x
  2. Step 2: Convert to fraction form
    282,813/609,906 = 609,906/x
  3. Step 3: Cross multiply
    282,813x = 609,906 × 609,906
  4. Step 4: Simplify right side
    282,813x = 371,985,328,836
  5. Step 5: Solve for x
    x = 371,985,328,836/282,813
  6. Step 6: Final answer
    x = 1,315,304.91

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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.