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Finding the Third Proportional to 264,444 and 581,373

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Solution

The third proportional to 264,444 and 581,373 is: 1,278,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,444 : 581,373 = 581,373 : x
  2. Step 2: Convert to fraction form
    264,444/581,373 = 581,373/x
  3. Step 3: Cross multiply
    264,444x = 581,373 × 581,373
  4. Step 4: Simplify right side
    264,444x = 337,994,565,129
  5. Step 5: Solve for x
    x = 337,994,565,129/264,444
  6. Step 6: Final answer
    x = 1,278,132.86

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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.