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Finding the Third Proportional to 319,983 and 679,318.50

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Solution

The third proportional to 319,983 and 679,318.50 is: 1,442,181.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,983 : 679,318.50 = 679,318.50 : x
  2. Step 2: Convert to fraction form
    319,983/679,318.50 = 679,318.50/x
  3. Step 3: Cross multiply
    319,983x = 679,318.50 × 679,318.50
  4. Step 4: Simplify right side
    319,983x = 461,473,624,442.25
  5. Step 5: Solve for x
    x = 461,473,624,442.25/319,983
  6. Step 6: Final answer
    x = 1,442,181.69

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.