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Finding the Third Proportional to 264,467 and 581,416

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Solution

The third proportional to 264,467 and 581,416 is: 1,278,210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,467 : 581,416 = 581,416 : x
  2. Step 2: Convert to fraction form
    264,467/581,416 = 581,416/x
  3. Step 3: Cross multiply
    264,467x = 581,416 × 581,416
  4. Step 4: Simplify right side
    264,467x = 338,044,565,056
  5. Step 5: Solve for x
    x = 338,044,565,056/264,467
  6. Step 6: Final answer
    x = 1,278,210.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.