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Finding the Third Proportional to 499,994 and 774,400

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Solution

The third proportional to 499,994 and 774,400 is: 1,199,405.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,994 : 774,400 = 774,400 : x
  2. Step 2: Convert to fraction form
    499,994/774,400 = 774,400/x
  3. Step 3: Cross multiply
    499,994x = 774,400 × 774,400
  4. Step 4: Simplify right side
    499,994x = 599,695,360,000
  5. Step 5: Solve for x
    x = 599,695,360,000/499,994
  6. Step 6: Final answer
    x = 1,199,405.11

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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.