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Finding the Third Proportional to 473,524 and 1,040,360

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Solution

The third proportional to 473,524 and 1,040,360 is: 2,285,731.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,524 : 1,040,360 = 1,040,360 : x
  2. Step 2: Convert to fraction form
    473,524/1,040,360 = 1,040,360/x
  3. Step 3: Cross multiply
    473,524x = 1,040,360 × 1,040,360
  4. Step 4: Simplify right side
    473,524x = 1,082,348,929,600
  5. Step 5: Solve for x
    x = 1,082,348,929,600/473,524
  6. Step 6: Final answer
    x = 2,285,731.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.