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Finding the Third Proportional to 275,196 and 437,808.75

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Solution

The third proportional to 275,196 and 437,808.75 is: 696,509.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,196 : 437,808.75 = 437,808.75 : x
  2. Step 2: Convert to fraction form
    275,196/437,808.75 = 437,808.75/x
  3. Step 3: Cross multiply
    275,196x = 437,808.75 × 437,808.75
  4. Step 4: Simplify right side
    275,196x = 191,676,501,576.56
  5. Step 5: Solve for x
    x = 191,676,501,576.56/275,196
  6. Step 6: Final answer
    x = 696,509.04

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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.