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Finding the Third Proportional to 360,414.50 and 519,165.75

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Solution

The third proportional to 360,414.50 and 519,165.75 is: 747,841.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,414.50 : 519,165.75 = 519,165.75 : x
  2. Step 2: Convert to fraction form
    360,414.50/519,165.75 = 519,165.75/x
  3. Step 3: Cross multiply
    360,414.50x = 519,165.75 × 519,165.75
  4. Step 4: Simplify right side
    360,414.50x = 269,533,075,973.06
  5. Step 5: Solve for x
    x = 269,533,075,973.06/360,414.50
  6. Step 6: Final answer
    x = 747,841.93

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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.