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Finding the Third Proportional to 266,466.50 and 409,581

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Solution

The third proportional to 266,466.50 and 409,581 is: 629,559.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,466.50 : 409,581 = 409,581 : x
  2. Step 2: Convert to fraction form
    266,466.50/409,581 = 409,581/x
  3. Step 3: Cross multiply
    266,466.50x = 409,581 × 409,581
  4. Step 4: Simplify right side
    266,466.50x = 167,756,595,561
  5. Step 5: Solve for x
    x = 167,756,595,561/266,466.50
  6. Step 6: Final answer
    x = 629,559.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.