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Finding the Third Proportional to 262,372.50 and 412,479

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Solution

The third proportional to 262,372.50 and 412,479 is: 648,463.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,372.50 : 412,479 = 412,479 : x
  2. Step 2: Convert to fraction form
    262,372.50/412,479 = 412,479/x
  3. Step 3: Cross multiply
    262,372.50x = 412,479 × 412,479
  4. Step 4: Simplify right side
    262,372.50x = 170,138,925,441
  5. Step 5: Solve for x
    x = 170,138,925,441/262,372.50
  6. Step 6: Final answer
    x = 648,463.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.