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Finding the Third Proportional to 476,064 and 676,800

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Solution

The third proportional to 476,064 and 676,800 is: 962,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,064 : 676,800 = 676,800 : x
  2. Step 2: Convert to fraction form
    476,064/676,800 = 676,800/x
  3. Step 3: Cross multiply
    476,064x = 676,800 × 676,800
  4. Step 4: Simplify right side
    476,064x = 458,058,240,000
  5. Step 5: Solve for x
    x = 458,058,240,000/476,064
  6. Step 6: Final answer
    x = 962,177.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.