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Finding the Third Proportional to 226,820 and 529,786

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Solution

The third proportional to 226,820 and 529,786 is: 1,237,427.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,820 : 529,786 = 529,786 : x
  2. Step 2: Convert to fraction form
    226,820/529,786 = 529,786/x
  3. Step 3: Cross multiply
    226,820x = 529,786 × 529,786
  4. Step 4: Simplify right side
    226,820x = 280,673,205,796
  5. Step 5: Solve for x
    x = 280,673,205,796/226,820
  6. Step 6: Final answer
    x = 1,237,427.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.