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Finding the Third Proportional to 486,550 and 774,795

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Solution

The third proportional to 486,550 and 774,795 is: 1,233,803.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,550 : 774,795 = 774,795 : x
  2. Step 2: Convert to fraction form
    486,550/774,795 = 774,795/x
  3. Step 3: Cross multiply
    486,550x = 774,795 × 774,795
  4. Step 4: Simplify right side
    486,550x = 600,307,292,025
  5. Step 5: Solve for x
    x = 600,307,292,025/486,550
  6. Step 6: Final answer
    x = 1,233,803.91

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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.