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Finding the Third Proportional to 334,985 and 730,098

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Solution

The third proportional to 334,985 and 730,098 is: 1,591,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,985 : 730,098 = 730,098 : x
  2. Step 2: Convert to fraction form
    334,985/730,098 = 730,098/x
  3. Step 3: Cross multiply
    334,985x = 730,098 × 730,098
  4. Step 4: Simplify right side
    334,985x = 533,043,089,604
  5. Step 5: Solve for x
    x = 533,043,089,604/334,985
  6. Step 6: Final answer
    x = 1,591,244.65

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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.