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Finding the Third Proportional to 250,710.75 and 536,411.25

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Solution

The third proportional to 250,710.75 and 536,411.25 is: 1,147,685.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,710.75 : 536,411.25 = 536,411.25 : x
  2. Step 2: Convert to fraction form
    250,710.75/536,411.25 = 536,411.25/x
  3. Step 3: Cross multiply
    250,710.75x = 536,411.25 × 536,411.25
  4. Step 4: Simplify right side
    250,710.75x = 287,737,029,126.56
  5. Step 5: Solve for x
    x = 287,737,029,126.56/250,710.75
  6. Step 6: Final answer
    x = 1,147,685.25

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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.