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Finding the Third Proportional to 264,357 and 425,559

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Solution

The third proportional to 264,357 and 425,559 is: 685,060.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,357 : 425,559 = 425,559 : x
  2. Step 2: Convert to fraction form
    264,357/425,559 = 425,559/x
  3. Step 3: Cross multiply
    264,357x = 425,559 × 425,559
  4. Step 4: Simplify right side
    264,357x = 181,100,462,481
  5. Step 5: Solve for x
    x = 181,100,462,481/264,357
  6. Step 6: Final answer
    x = 685,060.21

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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.