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Finding the Third Proportional to 519,244 and 758,442

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Solution

The third proportional to 519,244 and 758,442 is: 1,107,830.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,244 : 758,442 = 758,442 : x
  2. Step 2: Convert to fraction form
    519,244/758,442 = 758,442/x
  3. Step 3: Cross multiply
    519,244x = 758,442 × 758,442
  4. Step 4: Simplify right side
    519,244x = 575,234,267,364
  5. Step 5: Solve for x
    x = 575,234,267,364/519,244
  6. Step 6: Final answer
    x = 1,107,830.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.