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Finding the Third Proportional to 264,370 and 425,577

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Solution

The third proportional to 264,370 and 425,577 is: 685,084.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,370 : 425,577 = 425,577 : x
  2. Step 2: Convert to fraction form
    264,370/425,577 = 425,577/x
  3. Step 3: Cross multiply
    264,370x = 425,577 × 425,577
  4. Step 4: Simplify right side
    264,370x = 181,115,782,929
  5. Step 5: Solve for x
    x = 181,115,782,929/264,370
  6. Step 6: Final answer
    x = 685,084.48

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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.