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Finding the Third Proportional to 499,857 and 774,207

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Solution

The third proportional to 499,857 and 774,207 is: 1,199,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,857 : 774,207 = 774,207 : x
  2. Step 2: Convert to fraction form
    499,857/774,207 = 774,207/x
  3. Step 3: Cross multiply
    499,857x = 774,207 × 774,207
  4. Step 4: Simplify right side
    499,857x = 599,396,478,849
  5. Step 5: Solve for x
    x = 599,396,478,849/499,857
  6. Step 6: Final answer
    x = 1,199,135.91

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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.