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Finding the Third Proportional to 337,968 and 742,032

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Solution

The third proportional to 337,968 and 742,032 is: 1,629,182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,968 : 742,032 = 742,032 : x
  2. Step 2: Convert to fraction form
    337,968/742,032 = 742,032/x
  3. Step 3: Cross multiply
    337,968x = 742,032 × 742,032
  4. Step 4: Simplify right side
    337,968x = 550,611,489,024
  5. Step 5: Solve for x
    x = 550,611,489,024/337,968
  6. Step 6: Final answer
    x = 1,629,182.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.