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Finding the Third Proportional to 519,752 and 777,504

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Solution

The third proportional to 519,752 and 777,504 is: 1,163,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,752 : 777,504 = 777,504 : x
  2. Step 2: Convert to fraction form
    519,752/777,504 = 777,504/x
  3. Step 3: Cross multiply
    519,752x = 777,504 × 777,504
  4. Step 4: Simplify right side
    519,752x = 604,512,470,016
  5. Step 5: Solve for x
    x = 604,512,470,016/519,752
  6. Step 6: Final answer
    x = 1,163,078.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.