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Finding the Third Proportional to 263,360 and 571,680

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Solution

The third proportional to 263,360 and 571,680 is: 1,240,955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,360 : 571,680 = 571,680 : x
  2. Step 2: Convert to fraction form
    263,360/571,680 = 571,680/x
  3. Step 3: Cross multiply
    263,360x = 571,680 × 571,680
  4. Step 4: Simplify right side
    263,360x = 326,818,022,400
  5. Step 5: Solve for x
    x = 326,818,022,400/263,360
  6. Step 6: Final answer
    x = 1,240,955.43

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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.