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Finding the Third Proportional to 364,217.50 and 742,893.50

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Solution

The third proportional to 364,217.50 and 742,893.50 is: 1,515,277.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,217.50 : 742,893.50 = 742,893.50 : x
  2. Step 2: Convert to fraction form
    364,217.50/742,893.50 = 742,893.50/x
  3. Step 3: Cross multiply
    364,217.50x = 742,893.50 × 742,893.50
  4. Step 4: Simplify right side
    364,217.50x = 551,890,752,342.25
  5. Step 5: Solve for x
    x = 551,890,752,342.25/364,217.50
  6. Step 6: Final answer
    x = 1,515,277.97

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Why These Related Problems?

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