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Finding the Third Proportional to 492,187.50 and 771,090.75

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Solution

The third proportional to 492,187.50 and 771,090.75 is: 1,208,037.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,187.50 : 771,090.75 = 771,090.75 : x
  2. Step 2: Convert to fraction form
    492,187.50/771,090.75 = 771,090.75/x
  3. Step 3: Cross multiply
    492,187.50x = 771,090.75 × 771,090.75
  4. Step 4: Simplify right side
    492,187.50x = 594,580,944,735.56
  5. Step 5: Solve for x
    x = 594,580,944,735.56/492,187.50
  6. Step 6: Final answer
    x = 1,208,037.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.