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Finding the Third Proportional to 292,090.50 and 426,645

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Solution

The third proportional to 292,090.50 and 426,645 is: 623,183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,090.50 : 426,645 = 426,645 : x
  2. Step 2: Convert to fraction form
    292,090.50/426,645 = 426,645/x
  3. Step 3: Cross multiply
    292,090.50x = 426,645 × 426,645
  4. Step 4: Simplify right side
    292,090.50x = 182,025,956,025
  5. Step 5: Solve for x
    x = 182,025,956,025/292,090.50
  6. Step 6: Final answer
    x = 623,183.42

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.