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Finding the Third Proportional to 239,906 and 513,030

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Solution

The third proportional to 239,906 and 513,030 is: 1,097,095.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,906 : 513,030 = 513,030 : x
  2. Step 2: Convert to fraction form
    239,906/513,030 = 513,030/x
  3. Step 3: Cross multiply
    239,906x = 513,030 × 513,030
  4. Step 4: Simplify right side
    239,906x = 263,199,780,900
  5. Step 5: Solve for x
    x = 263,199,780,900/239,906
  6. Step 6: Final answer
    x = 1,097,095.45

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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.