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Finding the Third Proportional to 347,427 and 550,584

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Solution

The third proportional to 347,427 and 550,584 is: 872,536.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,427 : 550,584 = 550,584 : x
  2. Step 2: Convert to fraction form
    347,427/550,584 = 550,584/x
  3. Step 3: Cross multiply
    347,427x = 550,584 × 550,584
  4. Step 4: Simplify right side
    347,427x = 303,142,741,056
  5. Step 5: Solve for x
    x = 303,142,741,056/347,427
  6. Step 6: Final answer
    x = 872,536.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.