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Finding the Third Proportional to 282,939 and 609,969

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Solution

The third proportional to 282,939 and 609,969 is: 1,314,990.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,939 : 609,969 = 609,969 : x
  2. Step 2: Convert to fraction form
    282,939/609,969 = 609,969/x
  3. Step 3: Cross multiply
    282,939x = 609,969 × 609,969
  4. Step 4: Simplify right side
    282,939x = 372,062,180,961
  5. Step 5: Solve for x
    x = 372,062,180,961/282,939
  6. Step 6: Final answer
    x = 1,314,990.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.