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Finding the Third Proportional to 301,014 and 409,995

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Solution

The third proportional to 301,014 and 409,995 is: 558,432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,014 : 409,995 = 409,995 : x
  2. Step 2: Convert to fraction form
    301,014/409,995 = 409,995/x
  3. Step 3: Cross multiply
    301,014x = 409,995 × 409,995
  4. Step 4: Simplify right side
    301,014x = 168,095,900,025
  5. Step 5: Solve for x
    x = 168,095,900,025/301,014
  6. Step 6: Final answer
    x = 558,432.17

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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.