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Finding the Third Proportional to 475,231.50 and 729,477

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Solution

The third proportional to 475,231.50 and 729,477 is: 1,119,742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,231.50 : 729,477 = 729,477 : x
  2. Step 2: Convert to fraction form
    475,231.50/729,477 = 729,477/x
  3. Step 3: Cross multiply
    475,231.50x = 729,477 × 729,477
  4. Step 4: Simplify right side
    475,231.50x = 532,136,693,529
  5. Step 5: Solve for x
    x = 532,136,693,529/475,231.50
  6. Step 6: Final answer
    x = 1,119,742.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.