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Finding the Third Proportional to 374,766.75 and 492,034.50

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Solution

The third proportional to 374,766.75 and 492,034.50 is: 645,996.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,766.75 : 492,034.50 = 492,034.50 : x
  2. Step 2: Convert to fraction form
    374,766.75/492,034.50 = 492,034.50/x
  3. Step 3: Cross multiply
    374,766.75x = 492,034.50 × 492,034.50
  4. Step 4: Simplify right side
    374,766.75x = 242,097,949,190.25
  5. Step 5: Solve for x
    x = 242,097,949,190.25/374,766.75
  6. Step 6: Final answer
    x = 645,996.34

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.