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Finding the Third Proportional to 347,801.34 and 755,087.06

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Solution

The third proportional to 347,801.34 and 755,087.06 is: 1,639,316.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,801.34 : 755,087.06 = 755,087.06 : x
  2. Step 2: Convert to fraction form
    347,801.34/755,087.06 = 755,087.06/x
  3. Step 3: Cross multiply
    347,801.34x = 755,087.06 × 755,087.06
  4. Step 4: Simplify right side
    347,801.34x = 570,156,471,954.88
  5. Step 5: Solve for x
    x = 570,156,471,954.88/347,801.34
  6. Step 6: Final answer
    x = 1,639,316.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.