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Finding the Third Proportional to 409,011.75 and 855,607.50

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Solution

The third proportional to 409,011.75 and 855,607.50 is: 1,789,836.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,011.75 : 855,607.50 = 855,607.50 : x
  2. Step 2: Convert to fraction form
    409,011.75/855,607.50 = 855,607.50/x
  3. Step 3: Cross multiply
    409,011.75x = 855,607.50 × 855,607.50
  4. Step 4: Simplify right side
    409,011.75x = 732,064,194,056.25
  5. Step 5: Solve for x
    x = 732,064,194,056.25/409,011.75
  6. Step 6: Final answer
    x = 1,789,836.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.