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Finding the Third Proportional to 305,925.75 and 492,511.50

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Solution

The third proportional to 305,925.75 and 492,511.50 is: 792,896.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,925.75 : 492,511.50 = 492,511.50 : x
  2. Step 2: Convert to fraction form
    305,925.75/492,511.50 = 492,511.50/x
  3. Step 3: Cross multiply
    305,925.75x = 492,511.50 × 492,511.50
  4. Step 4: Simplify right side
    305,925.75x = 242,567,577,632.25
  5. Step 5: Solve for x
    x = 242,567,577,632.25/305,925.75
  6. Step 6: Final answer
    x = 792,896.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.