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Finding the Third Proportional to 275,205 and 437,820.75

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Solution

The third proportional to 275,205 and 437,820.75 is: 696,524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,205 : 437,820.75 = 437,820.75 : x
  2. Step 2: Convert to fraction form
    275,205/437,820.75 = 437,820.75/x
  3. Step 3: Cross multiply
    275,205x = 437,820.75 × 437,820.75
  4. Step 4: Simplify right side
    275,205x = 191,687,009,130.56
  5. Step 5: Solve for x
    x = 191,687,009,130.56/275,205
  6. Step 6: Final answer
    x = 696,524.44

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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.