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Finding the Third Proportional to 448,638.75 and 689,586.75

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Solution

The third proportional to 448,638.75 and 689,586.75 is: 1,059,939.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,638.75 : 689,586.75 = 689,586.75 : x
  2. Step 2: Convert to fraction form
    448,638.75/689,586.75 = 689,586.75/x
  3. Step 3: Cross multiply
    448,638.75x = 689,586.75 × 689,586.75
  4. Step 4: Simplify right side
    448,638.75x = 475,529,885,775.56
  5. Step 5: Solve for x
    x = 475,529,885,775.56/448,638.75
  6. Step 6: Final answer
    x = 1,059,939.40

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