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Finding the Third Proportional to 223,830 and 480,789

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Solution

The third proportional to 223,830 and 480,789 is: 1,032,739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,830 : 480,789 = 480,789 : x
  2. Step 2: Convert to fraction form
    223,830/480,789 = 480,789/x
  3. Step 3: Cross multiply
    223,830x = 480,789 × 480,789
  4. Step 4: Simplify right side
    223,830x = 231,158,062,521
  5. Step 5: Solve for x
    x = 231,158,062,521/223,830
  6. Step 6: Final answer
    x = 1,032,739.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.