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Finding the Third Proportional to 354,766.25 and 535,835

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Solution

The third proportional to 354,766.25 and 535,835 is: 809,319.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,766.25 : 535,835 = 535,835 : x
  2. Step 2: Convert to fraction form
    354,766.25/535,835 = 535,835/x
  3. Step 3: Cross multiply
    354,766.25x = 535,835 × 535,835
  4. Step 4: Simplify right side
    354,766.25x = 287,119,147,225
  5. Step 5: Solve for x
    x = 287,119,147,225/354,766.25
  6. Step 6: Final answer
    x = 809,319.23

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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.