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Finding the Third Proportional to 262,998 and 575,203

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Solution

The third proportional to 262,998 and 575,203 is: 1,258,026.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,998 : 575,203 = 575,203 : x
  2. Step 2: Convert to fraction form
    262,998/575,203 = 575,203/x
  3. Step 3: Cross multiply
    262,998x = 575,203 × 575,203
  4. Step 4: Simplify right side
    262,998x = 330,858,491,209
  5. Step 5: Solve for x
    x = 330,858,491,209/262,998
  6. Step 6: Final answer
    x = 1,258,026.64

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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.