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Finding the Third Proportional to 263,113 and 559,021

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Solution

The third proportional to 263,113 and 559,021 is: 1,187,719.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,113 : 559,021 = 559,021 : x
  2. Step 2: Convert to fraction form
    263,113/559,021 = 559,021/x
  3. Step 3: Cross multiply
    263,113x = 559,021 × 559,021
  4. Step 4: Simplify right side
    263,113x = 312,504,478,441
  5. Step 5: Solve for x
    x = 312,504,478,441/263,113
  6. Step 6: Final answer
    x = 1,187,719.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.