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Finding the Third Proportional to 352,437.75 and 529,438.50

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Solution

The third proportional to 352,437.75 and 529,438.50 is: 795,332.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,437.75 : 529,438.50 = 529,438.50 : x
  2. Step 2: Convert to fraction form
    352,437.75/529,438.50 = 529,438.50/x
  3. Step 3: Cross multiply
    352,437.75x = 529,438.50 × 529,438.50
  4. Step 4: Simplify right side
    352,437.75x = 280,305,125,282.25
  5. Step 5: Solve for x
    x = 280,305,125,282.25/352,437.75
  6. Step 6: Final answer
    x = 795,332.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.