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Finding the Third Proportional to 264,366 and 425,571

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Solution

The third proportional to 264,366 and 425,571 is: 685,075.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,366 : 425,571 = 425,571 : x
  2. Step 2: Convert to fraction form
    264,366/425,571 = 425,571/x
  3. Step 3: Cross multiply
    264,366x = 425,571 × 425,571
  4. Step 4: Simplify right side
    264,366x = 181,110,676,041
  5. Step 5: Solve for x
    x = 181,110,676,041/264,366
  6. Step 6: Final answer
    x = 685,075.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.