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Finding the Third Proportional to 500,994 and 774,828

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Solution

The third proportional to 500,994 and 774,828 is: 1,198,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,994 : 774,828 = 774,828 : x
  2. Step 2: Convert to fraction form
    500,994/774,828 = 774,828/x
  3. Step 3: Cross multiply
    500,994x = 774,828 × 774,828
  4. Step 4: Simplify right side
    500,994x = 600,358,429,584
  5. Step 5: Solve for x
    x = 600,358,429,584/500,994
  6. Step 6: Final answer
    x = 1,198,334.57

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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.