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Finding the Third Proportional to 497,335.50 and 764,880.75

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Solution

The third proportional to 497,335.50 and 764,880.75 is: 1,176,353.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,335.50 : 764,880.75 = 764,880.75 : x
  2. Step 2: Convert to fraction form
    497,335.50/764,880.75 = 764,880.75/x
  3. Step 3: Cross multiply
    497,335.50x = 764,880.75 × 764,880.75
  4. Step 4: Simplify right side
    497,335.50x = 585,042,561,720.56
  5. Step 5: Solve for x
    x = 585,042,561,720.56/497,335.50
  6. Step 6: Final answer
    x = 1,176,353.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.