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Finding the Third Proportional to 262,203 and 574,950

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Solution

The third proportional to 262,203 and 574,950 is: 1,260,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,203 : 574,950 = 574,950 : x
  2. Step 2: Convert to fraction form
    262,203/574,950 = 574,950/x
  3. Step 3: Cross multiply
    262,203x = 574,950 × 574,950
  4. Step 4: Simplify right side
    262,203x = 330,567,502,500
  5. Step 5: Solve for x
    x = 330,567,502,500/262,203
  6. Step 6: Final answer
    x = 1,260,731.20

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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.