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Finding the Third Proportional to 360,372 and 519,102

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Solution

The third proportional to 360,372 and 519,102 is: 747,746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,372 : 519,102 = 519,102 : x
  2. Step 2: Convert to fraction form
    360,372/519,102 = 519,102/x
  3. Step 3: Cross multiply
    360,372x = 519,102 × 519,102
  4. Step 4: Simplify right side
    360,372x = 269,466,886,404
  5. Step 5: Solve for x
    x = 269,466,886,404/360,372
  6. Step 6: Final answer
    x = 747,746.46

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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.