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Finding the Third Proportional to 486,563 and 774,813

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Solution

The third proportional to 486,563 and 774,813 is: 1,233,828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,563 : 774,813 = 774,813 : x
  2. Step 2: Convert to fraction form
    486,563/774,813 = 774,813/x
  3. Step 3: Cross multiply
    486,563x = 774,813 × 774,813
  4. Step 4: Simplify right side
    486,563x = 600,335,184,969
  5. Step 5: Solve for x
    x = 600,335,184,969/486,563
  6. Step 6: Final answer
    x = 1,233,828.27

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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.