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Finding the Third Proportional to 335,059 and 730,361

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Solution

The third proportional to 335,059 and 730,361 is: 1,592,039.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,059 : 730,361 = 730,361 : x
  2. Step 2: Convert to fraction form
    335,059/730,361 = 730,361/x
  3. Step 3: Cross multiply
    335,059x = 730,361 × 730,361
  4. Step 4: Simplify right side
    335,059x = 533,427,190,321
  5. Step 5: Solve for x
    x = 533,427,190,321/335,059
  6. Step 6: Final answer
    x = 1,592,039.58

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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.