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Finding the Third Proportional to 360,416.50 and 519,168.50

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Solution

The third proportional to 360,416.50 and 519,168.50 is: 747,845.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,416.50 : 519,168.50 = 519,168.50 : x
  2. Step 2: Convert to fraction form
    360,416.50/519,168.50 = 519,168.50/x
  3. Step 3: Cross multiply
    360,416.50x = 519,168.50 × 519,168.50
  4. Step 4: Simplify right side
    360,416.50x = 269,535,931,392.25
  5. Step 5: Solve for x
    x = 269,535,931,392.25/360,416.50
  6. Step 6: Final answer
    x = 747,845.70

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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.