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Finding the Third Proportional to 508,256 and 677,577

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Solution

The third proportional to 508,256 and 677,577 is: 903,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,256 : 677,577 = 677,577 : x
  2. Step 2: Convert to fraction form
    508,256/677,577 = 677,577/x
  3. Step 3: Cross multiply
    508,256x = 677,577 × 677,577
  4. Step 4: Simplify right side
    508,256x = 459,110,590,929
  5. Step 5: Solve for x
    x = 459,110,590,929/508,256
  6. Step 6: Final answer
    x = 903,305.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.