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Finding the Third Proportional to 364,197 and 742,839

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Solution

The third proportional to 364,197 and 742,839 is: 1,515,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,197 : 742,839 = 742,839 : x
  2. Step 2: Convert to fraction form
    364,197/742,839 = 742,839/x
  3. Step 3: Cross multiply
    364,197x = 742,839 × 742,839
  4. Step 4: Simplify right side
    364,197x = 551,809,779,921
  5. Step 5: Solve for x
    x = 551,809,779,921/364,197
  6. Step 6: Final answer
    x = 1,515,140.93

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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.