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Finding the Third Proportional to 497,265 and 764,775

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Solution

The third proportional to 497,265 and 764,775 is: 1,176,195.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,265 : 764,775 = 764,775 : x
  2. Step 2: Convert to fraction form
    497,265/764,775 = 764,775/x
  3. Step 3: Cross multiply
    497,265x = 764,775 × 764,775
  4. Step 4: Simplify right side
    497,265x = 584,880,800,625
  5. Step 5: Solve for x
    x = 584,880,800,625/497,265
  6. Step 6: Final answer
    x = 1,176,195.39

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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.