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Finding the Third Proportional to 533,182.50 and 1,184,463

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Solution

The third proportional to 533,182.50 and 1,184,463 is: 2,631,280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,182.50 : 1,184,463 = 1,184,463 : x
  2. Step 2: Convert to fraction form
    533,182.50/1,184,463 = 1,184,463/x
  3. Step 3: Cross multiply
    533,182.50x = 1,184,463 × 1,184,463
  4. Step 4: Simplify right side
    533,182.50x = 1,402,952,598,369
  5. Step 5: Solve for x
    x = 1,402,952,598,369/533,182.50
  6. Step 6: Final answer
    x = 2,631,280.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.