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Finding the Third Proportional to 352,410.75 and 533,533.50

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Solution

The third proportional to 352,410.75 and 533,533.50 is: 807,744.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,410.75 : 533,533.50 = 533,533.50 : x
  2. Step 2: Convert to fraction form
    352,410.75/533,533.50 = 533,533.50/x
  3. Step 3: Cross multiply
    352,410.75x = 533,533.50 × 533,533.50
  4. Step 4: Simplify right side
    352,410.75x = 284,657,995,622.25
  5. Step 5: Solve for x
    x = 284,657,995,622.25/352,410.75
  6. Step 6: Final answer
    x = 807,744.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.