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Finding the Third Proportional to 519,187.50 and 758,367

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Solution

The third proportional to 519,187.50 and 758,367 is: 1,107,731.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,187.50 : 758,367 = 758,367 : x
  2. Step 2: Convert to fraction form
    519,187.50/758,367 = 758,367/x
  3. Step 3: Cross multiply
    519,187.50x = 758,367 × 758,367
  4. Step 4: Simplify right side
    519,187.50x = 575,120,506,689
  5. Step 5: Solve for x
    x = 575,120,506,689/519,187.50
  6. Step 6: Final answer
    x = 1,107,731.81

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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.