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Finding the Third Proportional to 497,514 and 789,055

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Solution

The third proportional to 497,514 and 789,055 is: 1,251,437.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,514 : 789,055 = 789,055 : x
  2. Step 2: Convert to fraction form
    497,514/789,055 = 789,055/x
  3. Step 3: Cross multiply
    497,514x = 789,055 × 789,055
  4. Step 4: Simplify right side
    497,514x = 622,607,793,025
  5. Step 5: Solve for x
    x = 622,607,793,025/497,514
  6. Step 6: Final answer
    x = 1,251,437.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.