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Finding the Third Proportional to 264,330 and 425,610

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Solution

The third proportional to 264,330 and 425,610 is: 685,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,330 : 425,610 = 425,610 : x
  2. Step 2: Convert to fraction form
    264,330/425,610 = 425,610/x
  3. Step 3: Cross multiply
    264,330x = 425,610 × 425,610
  4. Step 4: Simplify right side
    264,330x = 181,143,872,100
  5. Step 5: Solve for x
    x = 181,143,872,100/264,330
  6. Step 6: Final answer
    x = 685,294.41

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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.