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Finding the Third Proportional to 263,336 and 583,614

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Solution

The third proportional to 263,336 and 583,614 is: 1,293,424.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,336 : 583,614 = 583,614 : x
  2. Step 2: Convert to fraction form
    263,336/583,614 = 583,614/x
  3. Step 3: Cross multiply
    263,336x = 583,614 × 583,614
  4. Step 4: Simplify right side
    263,336x = 340,605,300,996
  5. Step 5: Solve for x
    x = 340,605,300,996/263,336
  6. Step 6: Final answer
    x = 1,293,424.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.