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Finding the Third Proportional to 275,036 and 437,636

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Solution

The third proportional to 275,036 and 437,636 is: 696,364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,036 : 437,636 = 437,636 : x
  2. Step 2: Convert to fraction form
    275,036/437,636 = 437,636/x
  3. Step 3: Cross multiply
    275,036x = 437,636 × 437,636
  4. Step 4: Simplify right side
    275,036x = 191,525,268,496
  5. Step 5: Solve for x
    x = 191,525,268,496/275,036
  6. Step 6: Final answer
    x = 696,364.36

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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.