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Finding the Third Proportional to 364,214.25 and 742,873.50

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Solution

The third proportional to 364,214.25 and 742,873.50 is: 1,515,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,214.25 : 742,873.50 = 742,873.50 : x
  2. Step 2: Convert to fraction form
    364,214.25/742,873.50 = 742,873.50/x
  3. Step 3: Cross multiply
    364,214.25x = 742,873.50 × 742,873.50
  4. Step 4: Simplify right side
    364,214.25x = 551,861,037,002.25
  5. Step 5: Solve for x
    x = 551,861,037,002.25/364,214.25
  6. Step 6: Final answer
    x = 1,515,209.90

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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.