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Finding the Third Proportional to 312,511.50 and 442,491

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Solution

The third proportional to 312,511.50 and 442,491 is: 626,531.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,511.50 : 442,491 = 442,491 : x
  2. Step 2: Convert to fraction form
    312,511.50/442,491 = 442,491/x
  3. Step 3: Cross multiply
    312,511.50x = 442,491 × 442,491
  4. Step 4: Simplify right side
    312,511.50x = 195,798,285,081
  5. Step 5: Solve for x
    x = 195,798,285,081/312,511.50
  6. Step 6: Final answer
    x = 626,531.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.