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Finding the Third Proportional to 263,352 and 558,077

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Solution

The third proportional to 263,352 and 558,077 is: 1,182,637.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,352 : 558,077 = 558,077 : x
  2. Step 2: Convert to fraction form
    263,352/558,077 = 558,077/x
  3. Step 3: Cross multiply
    263,352x = 558,077 × 558,077
  4. Step 4: Simplify right side
    263,352x = 311,449,937,929
  5. Step 5: Solve for x
    x = 311,449,937,929/263,352
  6. Step 6: Final answer
    x = 1,182,637.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.