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Finding the Third Proportional to 239,894 and 513,004

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Solution

The third proportional to 239,894 and 513,004 is: 1,097,039.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,894 : 513,004 = 513,004 : x
  2. Step 2: Convert to fraction form
    239,894/513,004 = 513,004/x
  3. Step 3: Cross multiply
    239,894x = 513,004 × 513,004
  4. Step 4: Simplify right side
    239,894x = 263,173,104,016
  5. Step 5: Solve for x
    x = 263,173,104,016/239,894
  6. Step 6: Final answer
    x = 1,097,039.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.