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Finding the Third Proportional to 301,405.50 and 410,463

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Solution

The third proportional to 301,405.50 and 410,463 is: 558,980.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,405.50 : 410,463 = 410,463 : x
  2. Step 2: Convert to fraction form
    301,405.50/410,463 = 410,463/x
  3. Step 3: Cross multiply
    301,405.50x = 410,463 × 410,463
  4. Step 4: Simplify right side
    301,405.50x = 168,479,874,369
  5. Step 5: Solve for x
    x = 168,479,874,369/301,405.50
  6. Step 6: Final answer
    x = 558,980.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.