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Finding the Third Proportional to 364,102.50 and 792,117

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Solution

The third proportional to 364,102.50 and 792,117 is: 1,723,276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,102.50 : 792,117 = 792,117 : x
  2. Step 2: Convert to fraction form
    364,102.50/792,117 = 792,117/x
  3. Step 3: Cross multiply
    364,102.50x = 792,117 × 792,117
  4. Step 4: Simplify right side
    364,102.50x = 627,449,341,689
  5. Step 5: Solve for x
    x = 627,449,341,689/364,102.50
  6. Step 6: Final answer
    x = 1,723,276.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.