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Finding the Third Proportional to 519,353 and 776,954

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Solution

The third proportional to 519,353 and 776,954 is: 1,162,326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,353 : 776,954 = 776,954 : x
  2. Step 2: Convert to fraction form
    519,353/776,954 = 776,954/x
  3. Step 3: Cross multiply
    519,353x = 776,954 × 776,954
  4. Step 4: Simplify right side
    519,353x = 603,657,518,116
  5. Step 5: Solve for x
    x = 603,657,518,116/519,353
  6. Step 6: Final answer
    x = 1,162,326.04

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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.