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Finding the Third Proportional to 368,923.50 and 564,090.75

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Solution

The third proportional to 368,923.50 and 564,090.75 is: 862,505.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,923.50 : 564,090.75 = 564,090.75 : x
  2. Step 2: Convert to fraction form
    368,923.50/564,090.75 = 564,090.75/x
  3. Step 3: Cross multiply
    368,923.50x = 564,090.75 × 564,090.75
  4. Step 4: Simplify right side
    368,923.50x = 318,198,374,235.56
  5. Step 5: Solve for x
    x = 318,198,374,235.56/368,923.50
  6. Step 6: Final answer
    x = 862,505.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.