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Finding the Third Proportional to 337,807 and 734,024

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Solution

The third proportional to 337,807 and 734,024 is: 1,594,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,807 : 734,024 = 734,024 : x
  2. Step 2: Convert to fraction form
    337,807/734,024 = 734,024/x
  3. Step 3: Cross multiply
    337,807x = 734,024 × 734,024
  4. Step 4: Simplify right side
    337,807x = 538,791,232,576
  5. Step 5: Solve for x
    x = 538,791,232,576/337,807
  6. Step 6: Final answer
    x = 1,594,967.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.