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Finding the Third Proportional to 519,240 and 758,436

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Solution

The third proportional to 519,240 and 758,436 is: 1,107,821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,240 : 758,436 = 758,436 : x
  2. Step 2: Convert to fraction form
    519,240/758,436 = 758,436/x
  3. Step 3: Cross multiply
    519,240x = 758,436 × 758,436
  4. Step 4: Simplify right side
    519,240x = 575,225,166,096
  5. Step 5: Solve for x
    x = 575,225,166,096/519,240
  6. Step 6: Final answer
    x = 1,107,821.37

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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.