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Finding the Third Proportional to 238,698 and 520,004

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Solution

The third proportional to 238,698 and 520,004 is: 1,132,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,698 : 520,004 = 520,004 : x
  2. Step 2: Convert to fraction form
    238,698/520,004 = 520,004/x
  3. Step 3: Cross multiply
    238,698x = 520,004 × 520,004
  4. Step 4: Simplify right side
    238,698x = 270,404,160,016
  5. Step 5: Solve for x
    x = 270,404,160,016/238,698
  6. Step 6: Final answer
    x = 1,132,829.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.