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Finding the Third Proportional to 241,302 and 520,006

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Solution

The third proportional to 241,302 and 520,006 is: 1,120,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,302 : 520,006 = 520,006 : x
  2. Step 2: Convert to fraction form
    241,302/520,006 = 520,006/x
  3. Step 3: Cross multiply
    241,302x = 520,006 × 520,006
  4. Step 4: Simplify right side
    241,302x = 270,406,240,036
  5. Step 5: Solve for x
    x = 270,406,240,036/241,302
  6. Step 6: Final answer
    x = 1,120,613.34

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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.