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Finding the Third Proportional to 250,536 and 557,043

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Solution

The third proportional to 250,536 and 557,043 is: 1,238,532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,536 : 557,043 = 557,043 : x
  2. Step 2: Convert to fraction form
    250,536/557,043 = 557,043/x
  3. Step 3: Cross multiply
    250,536x = 557,043 × 557,043
  4. Step 4: Simplify right side
    250,536x = 310,296,903,849
  5. Step 5: Solve for x
    x = 310,296,903,849/250,536
  6. Step 6: Final answer
    x = 1,238,532.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.