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Finding the Third Proportional to 263,007 and 575,219.25

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Solution

The third proportional to 263,007 and 575,219.25 is: 1,258,054.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,007 : 575,219.25 = 575,219.25 : x
  2. Step 2: Convert to fraction form
    263,007/575,219.25 = 575,219.25/x
  3. Step 3: Cross multiply
    263,007x = 575,219.25 × 575,219.25
  4. Step 4: Simplify right side
    263,007x = 330,877,185,570.56
  5. Step 5: Solve for x
    x = 330,877,185,570.56/263,007
  6. Step 6: Final answer
    x = 1,258,054.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.