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Finding the Third Proportional to 473,520 and 1,040,352

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Solution

The third proportional to 473,520 and 1,040,352 is: 2,285,716.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,520 : 1,040,352 = 1,040,352 : x
  2. Step 2: Convert to fraction form
    473,520/1,040,352 = 1,040,352/x
  3. Step 3: Cross multiply
    473,520x = 1,040,352 × 1,040,352
  4. Step 4: Simplify right side
    473,520x = 1,082,332,283,904
  5. Step 5: Solve for x
    x = 1,082,332,283,904/473,520
  6. Step 6: Final answer
    x = 2,285,716.09

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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.