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Finding the Third Proportional to 423,504 and 908,400

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Solution

The third proportional to 423,504 and 908,400 is: 1,948,483.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,504 : 908,400 = 908,400 : x
  2. Step 2: Convert to fraction form
    423,504/908,400 = 908,400/x
  3. Step 3: Cross multiply
    423,504x = 908,400 × 908,400
  4. Step 4: Simplify right side
    423,504x = 825,190,560,000
  5. Step 5: Solve for x
    x = 825,190,560,000/423,504
  6. Step 6: Final answer
    x = 1,948,483.51

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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.