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Finding the Third Proportional to 264,386 and 558,911

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Solution

The third proportional to 264,386 and 558,911 is: 1,181,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,386 : 558,911 = 558,911 : x
  2. Step 2: Convert to fraction form
    264,386/558,911 = 558,911/x
  3. Step 3: Cross multiply
    264,386x = 558,911 × 558,911
  4. Step 4: Simplify right side
    264,386x = 312,381,505,921
  5. Step 5: Solve for x
    x = 312,381,505,921/264,386
  6. Step 6: Final answer
    x = 1,181,535.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.