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Finding the Third Proportional to 497,114.25 and 777,660.75

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Solution

The third proportional to 497,114.25 and 777,660.75 is: 1,216,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,114.25 : 777,660.75 = 777,660.75 : x
  2. Step 2: Convert to fraction form
    497,114.25/777,660.75 = 777,660.75/x
  3. Step 3: Cross multiply
    497,114.25x = 777,660.75 × 777,660.75
  4. Step 4: Simplify right side
    497,114.25x = 604,756,242,090.56
  5. Step 5: Solve for x
    x = 604,756,242,090.56/497,114.25
  6. Step 6: Final answer
    x = 1,216,533.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.