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Finding the Third Proportional to 407,112 and 884,256

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Solution

The third proportional to 407,112 and 884,256 is: 1,920,623.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,112 : 884,256 = 884,256 : x
  2. Step 2: Convert to fraction form
    407,112/884,256 = 884,256/x
  3. Step 3: Cross multiply
    407,112x = 884,256 × 884,256
  4. Step 4: Simplify right side
    407,112x = 781,908,673,536
  5. Step 5: Solve for x
    x = 781,908,673,536/407,112
  6. Step 6: Final answer
    x = 1,920,623.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.