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Finding the Third Proportional to 295,855 and 480,677

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Solution

The third proportional to 295,855 and 480,677 is: 780,958.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,855 : 480,677 = 480,677 : x
  2. Step 2: Convert to fraction form
    295,855/480,677 = 480,677/x
  3. Step 3: Cross multiply
    295,855x = 480,677 × 480,677
  4. Step 4: Simplify right side
    295,855x = 231,050,378,329
  5. Step 5: Solve for x
    x = 231,050,378,329/295,855
  6. Step 6: Final answer
    x = 780,958.17

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.