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Finding the Third Proportional to 250,511.63 and 525,640.50

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Solution

The third proportional to 250,511.63 and 525,640.50 is: 1,102,934.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,511.63 : 525,640.50 = 525,640.50 : x
  2. Step 2: Convert to fraction form
    250,511.63/525,640.50 = 525,640.50/x
  3. Step 3: Cross multiply
    250,511.63x = 525,640.50 × 525,640.50
  4. Step 4: Simplify right side
    250,511.63x = 276,297,935,240.25
  5. Step 5: Solve for x
    x = 276,297,935,240.25/250,511.63
  6. Step 6: Final answer
    x = 1,102,934.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.