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Finding the Third Proportional to 507,066 and 779,466

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Solution

The third proportional to 507,066 and 779,466 is: 1,198,201.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,066 : 779,466 = 779,466 : x
  2. Step 2: Convert to fraction form
    507,066/779,466 = 779,466/x
  3. Step 3: Cross multiply
    507,066x = 779,466 × 779,466
  4. Step 4: Simplify right side
    507,066x = 607,567,245,156
  5. Step 5: Solve for x
    x = 607,567,245,156/507,066
  6. Step 6: Final answer
    x = 1,198,201.51

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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.