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Finding the Third Proportional to 234,576 and 513,504

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Solution

The third proportional to 234,576 and 513,504 is: 1,124,097.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,576 : 513,504 = 513,504 : x
  2. Step 2: Convert to fraction form
    234,576/513,504 = 513,504/x
  3. Step 3: Cross multiply
    234,576x = 513,504 × 513,504
  4. Step 4: Simplify right side
    234,576x = 263,686,358,016
  5. Step 5: Solve for x
    x = 263,686,358,016/234,576
  6. Step 6: Final answer
    x = 1,124,097.77

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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.