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Finding the Third Proportional to 295,941 and 480,807

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Solution

The third proportional to 295,941 and 480,807 is: 781,153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,941 : 480,807 = 480,807 : x
  2. Step 2: Convert to fraction form
    295,941/480,807 = 480,807/x
  3. Step 3: Cross multiply
    295,941x = 480,807 × 480,807
  4. Step 4: Simplify right side
    295,941x = 231,175,371,249
  5. Step 5: Solve for x
    x = 231,175,371,249/295,941
  6. Step 6: Final answer
    x = 781,153.58

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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.