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Finding the Third Proportional to 225,666 and 486,598.50

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Solution

The third proportional to 225,666 and 486,598.50 is: 1,049,241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,666 : 486,598.50 = 486,598.50 : x
  2. Step 2: Convert to fraction form
    225,666/486,598.50 = 486,598.50/x
  3. Step 3: Cross multiply
    225,666x = 486,598.50 × 486,598.50
  4. Step 4: Simplify right side
    225,666x = 236,778,100,202.25
  5. Step 5: Solve for x
    x = 236,778,100,202.25/225,666
  6. Step 6: Final answer
    x = 1,049,241.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.