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Finding the Third Proportional to 360,675 and 519,520.50

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Solution

The third proportional to 360,675 and 519,520.50 is: 748,323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,675 : 519,520.50 = 519,520.50 : x
  2. Step 2: Convert to fraction form
    360,675/519,520.50 = 519,520.50/x
  3. Step 3: Cross multiply
    360,675x = 519,520.50 × 519,520.50
  4. Step 4: Simplify right side
    360,675x = 269,901,549,920.25
  5. Step 5: Solve for x
    x = 269,901,549,920.25/360,675
  6. Step 6: Final answer
    x = 748,323.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.