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Finding the Third Proportional to 347,096 and 757,840

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Solution

The third proportional to 347,096 and 757,840 is: 1,654,647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,096 : 757,840 = 757,840 : x
  2. Step 2: Convert to fraction form
    347,096/757,840 = 757,840/x
  3. Step 3: Cross multiply
    347,096x = 757,840 × 757,840
  4. Step 4: Simplify right side
    347,096x = 574,321,465,600
  5. Step 5: Solve for x
    x = 574,321,465,600/347,096
  6. Step 6: Final answer
    x = 1,654,647.32

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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.