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Finding the Third Proportional to 507,066 and 779,467

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Solution

The third proportional to 507,066 and 779,467 is: 1,198,204.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,066 : 779,467 = 779,467 : x
  2. Step 2: Convert to fraction form
    507,066/779,467 = 779,467/x
  3. Step 3: Cross multiply
    507,066x = 779,467 × 779,467
  4. Step 4: Simplify right side
    507,066x = 607,568,804,089
  5. Step 5: Solve for x
    x = 607,568,804,089/507,066
  6. Step 6: Final answer
    x = 1,198,204.58

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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.