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Finding the Third Proportional to 492,287.50 and 737,610

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Solution

The third proportional to 492,287.50 and 737,610 is: 1,105,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,287.50 : 737,610 = 737,610 : x
  2. Step 2: Convert to fraction form
    492,287.50/737,610 = 737,610/x
  3. Step 3: Cross multiply
    492,287.50x = 737,610 × 737,610
  4. Step 4: Simplify right side
    492,287.50x = 544,068,512,100
  5. Step 5: Solve for x
    x = 544,068,512,100/492,287.50
  6. Step 6: Final answer
    x = 1,105,184.50

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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.