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Finding the Third Proportional to 249,619 and 538,601

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Solution

The third proportional to 249,619 and 538,601 is: 1,162,135.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,619 : 538,601 = 538,601 : x
  2. Step 2: Convert to fraction form
    249,619/538,601 = 538,601/x
  3. Step 3: Cross multiply
    249,619x = 538,601 × 538,601
  4. Step 4: Simplify right side
    249,619x = 290,091,037,201
  5. Step 5: Solve for x
    x = 290,091,037,201/249,619
  6. Step 6: Final answer
    x = 1,162,135.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.