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Finding the Third Proportional to 337,014 and 733,077

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Solution

The third proportional to 337,014 and 733,077 is: 1,594,598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,014 : 733,077 = 733,077 : x
  2. Step 2: Convert to fraction form
    337,014/733,077 = 733,077/x
  3. Step 3: Cross multiply
    337,014x = 733,077 × 733,077
  4. Step 4: Simplify right side
    337,014x = 537,401,887,929
  5. Step 5: Solve for x
    x = 537,401,887,929/337,014
  6. Step 6: Final answer
    x = 1,594,598.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.