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Finding the Third Proportional to 301,527 and 409,500

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Solution

The third proportional to 301,527 and 409,500 is: 556,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,527 : 409,500 = 409,500 : x
  2. Step 2: Convert to fraction form
    301,527/409,500 = 409,500/x
  3. Step 3: Cross multiply
    301,527x = 409,500 × 409,500
  4. Step 4: Simplify right side
    301,527x = 167,690,250,000
  5. Step 5: Solve for x
    x = 167,690,250,000/301,527
  6. Step 6: Final answer
    x = 556,136.76

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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.