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Finding the Third Proportional to 334,977 and 730,083

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Solution

The third proportional to 334,977 and 730,083 is: 1,591,217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,977 : 730,083 = 730,083 : x
  2. Step 2: Convert to fraction form
    334,977/730,083 = 730,083/x
  3. Step 3: Cross multiply
    334,977x = 730,083 × 730,083
  4. Step 4: Simplify right side
    334,977x = 533,021,186,889
  5. Step 5: Solve for x
    x = 533,021,186,889/334,977
  6. Step 6: Final answer
    x = 1,591,217.27

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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.