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Finding the Third Proportional to 250,804 and 536,120

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Solution

The third proportional to 250,804 and 536,120 is: 1,146,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,804 : 536,120 = 536,120 : x
  2. Step 2: Convert to fraction form
    250,804/536,120 = 536,120/x
  3. Step 3: Cross multiply
    250,804x = 536,120 × 536,120
  4. Step 4: Simplify right side
    250,804x = 287,424,654,400
  5. Step 5: Solve for x
    x = 287,424,654,400/250,804
  6. Step 6: Final answer
    x = 1,146,013.04

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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.