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Finding the Third Proportional to 263,120 and 578,944

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Solution

The third proportional to 263,120 and 578,944 is: 1,273,852.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,120 : 578,944 = 578,944 : x
  2. Step 2: Convert to fraction form
    263,120/578,944 = 578,944/x
  3. Step 3: Cross multiply
    263,120x = 578,944 × 578,944
  4. Step 4: Simplify right side
    263,120x = 335,176,155,136
  5. Step 5: Solve for x
    x = 335,176,155,136/263,120
  6. Step 6: Final answer
    x = 1,273,852.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.