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Finding the Third Proportional to 245,622 and 538,004

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Solution

The third proportional to 245,622 and 538,004 is: 1,178,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,622 : 538,004 = 538,004 : x
  2. Step 2: Convert to fraction form
    245,622/538,004 = 538,004/x
  3. Step 3: Cross multiply
    245,622x = 538,004 × 538,004
  4. Step 4: Simplify right side
    245,622x = 289,448,304,016
  5. Step 5: Solve for x
    x = 289,448,304,016/245,622
  6. Step 6: Final answer
    x = 1,178,429.88

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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.