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Finding the Third Proportional to 409,275 and 883,728

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Solution

The third proportional to 409,275 and 883,728 is: 1,908,191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,275 : 883,728 = 883,728 : x
  2. Step 2: Convert to fraction form
    409,275/883,728 = 883,728/x
  3. Step 3: Cross multiply
    409,275x = 883,728 × 883,728
  4. Step 4: Simplify right side
    409,275x = 780,975,177,984
  5. Step 5: Solve for x
    x = 780,975,177,984/409,275
  6. Step 6: Final answer
    x = 1,908,191.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.