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Finding the Third Proportional to 364,178.81 and 742,814.44

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Solution

The third proportional to 364,178.81 and 742,814.44 is: 1,515,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,178.81 : 742,814.44 = 742,814.44 : x
  2. Step 2: Convert to fraction form
    364,178.81/742,814.44 = 742,814.44/x
  3. Step 3: Cross multiply
    364,178.81x = 742,814.44 × 742,814.44
  4. Step 4: Simplify right side
    364,178.81x = 551,773,288,558.44
  5. Step 5: Solve for x
    x = 551,773,288,558.44/364,178.81
  6. Step 6: Final answer
    x = 1,515,116.39

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.