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Finding the Third Proportional to 376,372.50 and 536,533.50

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Solution

The third proportional to 376,372.50 and 536,533.50 is: 764,849.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,372.50 : 536,533.50 = 536,533.50 : x
  2. Step 2: Convert to fraction form
    376,372.50/536,533.50 = 536,533.50/x
  3. Step 3: Cross multiply
    376,372.50x = 536,533.50 × 536,533.50
  4. Step 4: Simplify right side
    376,372.50x = 287,868,196,622.25
  5. Step 5: Solve for x
    x = 287,868,196,622.25/376,372.50
  6. Step 6: Final answer
    x = 764,849.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.