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Finding the Third Proportional to 357,634.50 and 540,096.75

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Solution

The third proportional to 357,634.50 and 540,096.75 is: 815,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,634.50 : 540,096.75 = 540,096.75 : x
  2. Step 2: Convert to fraction form
    357,634.50/540,096.75 = 540,096.75/x
  3. Step 3: Cross multiply
    357,634.50x = 540,096.75 × 540,096.75
  4. Step 4: Simplify right side
    357,634.50x = 291,704,499,360.56
  5. Step 5: Solve for x
    x = 291,704,499,360.56/357,634.50
  6. Step 6: Final answer
    x = 815,649.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.