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Finding the Third Proportional to 235,444 and 503,204

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Solution

The third proportional to 235,444 and 503,204 is: 1,075,475.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,444 : 503,204 = 503,204 : x
  2. Step 2: Convert to fraction form
    235,444/503,204 = 503,204/x
  3. Step 3: Cross multiply
    235,444x = 503,204 × 503,204
  4. Step 4: Simplify right side
    235,444x = 253,214,265,616
  5. Step 5: Solve for x
    x = 253,214,265,616/235,444
  6. Step 6: Final answer
    x = 1,075,475.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.