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Finding the Third Proportional to 275,046 and 437,652

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Solution

The third proportional to 275,046 and 437,652 is: 696,389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,046 : 437,652 = 437,652 : x
  2. Step 2: Convert to fraction form
    275,046/437,652 = 437,652/x
  3. Step 3: Cross multiply
    275,046x = 437,652 × 437,652
  4. Step 4: Simplify right side
    275,046x = 191,539,273,104
  5. Step 5: Solve for x
    x = 191,539,273,104/275,046
  6. Step 6: Final answer
    x = 696,389.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.