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Finding the Third Proportional to 263,116 and 570,584

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Solution

The third proportional to 263,116 and 570,584 is: 1,237,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,116 : 570,584 = 570,584 : x
  2. Step 2: Convert to fraction form
    263,116/570,584 = 570,584/x
  3. Step 3: Cross multiply
    263,116x = 570,584 × 570,584
  4. Step 4: Simplify right side
    263,116x = 325,566,101,056
  5. Step 5: Solve for x
    x = 325,566,101,056/263,116
  6. Step 6: Final answer
    x = 1,237,348.17

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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.