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Finding the Third Proportional to 264,433 and 581,354

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Solution

The third proportional to 264,433 and 581,354 is: 1,278,102.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,433 : 581,354 = 581,354 : x
  2. Step 2: Convert to fraction form
    264,433/581,354 = 581,354/x
  3. Step 3: Cross multiply
    264,433x = 581,354 × 581,354
  4. Step 4: Simplify right side
    264,433x = 337,972,473,316
  5. Step 5: Solve for x
    x = 337,972,473,316/264,433
  6. Step 6: Final answer
    x = 1,278,102.48

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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.