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Finding the Third Proportional to 301,401 and 410,456.25

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Solution

The third proportional to 301,401 and 410,456.25 is: 558,970.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,401 : 410,456.25 = 410,456.25 : x
  2. Step 2: Convert to fraction form
    301,401/410,456.25 = 410,456.25/x
  3. Step 3: Cross multiply
    301,401x = 410,456.25 × 410,456.25
  4. Step 4: Simplify right side
    301,401x = 168,474,333,164.06
  5. Step 5: Solve for x
    x = 168,474,333,164.06/301,401
  6. Step 6: Final answer
    x = 558,970.72

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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.