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Finding the Third Proportional to 301,017 and 409,999.50

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Solution

The third proportional to 301,017 and 409,999.50 is: 558,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,017 : 409,999.50 = 409,999.50 : x
  2. Step 2: Convert to fraction form
    301,017/409,999.50 = 409,999.50/x
  3. Step 3: Cross multiply
    301,017x = 409,999.50 × 409,999.50
  4. Step 4: Simplify right side
    301,017x = 168,099,590,000.25
  5. Step 5: Solve for x
    x = 168,099,590,000.25/301,017
  6. Step 6: Final answer
    x = 558,438.86

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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.