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Finding the Third Proportional to 264,434 and 581,356

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Solution

The third proportional to 264,434 and 581,356 is: 1,278,106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,434 : 581,356 = 581,356 : x
  2. Step 2: Convert to fraction form
    264,434/581,356 = 581,356/x
  3. Step 3: Cross multiply
    264,434x = 581,356 × 581,356
  4. Step 4: Simplify right side
    264,434x = 337,974,798,736
  5. Step 5: Solve for x
    x = 337,974,798,736/264,434
  6. Step 6: Final answer
    x = 1,278,106.44

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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.