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Finding the Third Proportional to 500,563 and 774,848

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Solution

The third proportional to 500,563 and 774,848 is: 1,199,428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,563 : 774,848 = 774,848 : x
  2. Step 2: Convert to fraction form
    500,563/774,848 = 774,848/x
  3. Step 3: Cross multiply
    500,563x = 774,848 × 774,848
  4. Step 4: Simplify right side
    500,563x = 600,389,423,104
  5. Step 5: Solve for x
    x = 600,389,423,104/500,563
  6. Step 6: Final answer
    x = 1,199,428.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.