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Finding the Third Proportional to 225,994 and 501,552

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Solution

The third proportional to 225,994 and 501,552 is: 1,113,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,994 : 501,552 = 501,552 : x
  2. Step 2: Convert to fraction form
    225,994/501,552 = 501,552/x
  3. Step 3: Cross multiply
    225,994x = 501,552 × 501,552
  4. Step 4: Simplify right side
    225,994x = 251,554,408,704
  5. Step 5: Solve for x
    x = 251,554,408,704/225,994
  6. Step 6: Final answer
    x = 1,113,102.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.