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Finding the Third Proportional to 295,939 and 480,804

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Solution

The third proportional to 295,939 and 480,804 is: 781,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,939 : 480,804 = 480,804 : x
  2. Step 2: Convert to fraction form
    295,939/480,804 = 480,804/x
  3. Step 3: Cross multiply
    295,939x = 480,804 × 480,804
  4. Step 4: Simplify right side
    295,939x = 231,172,486,416
  5. Step 5: Solve for x
    x = 231,172,486,416/295,939
  6. Step 6: Final answer
    x = 781,149.11

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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.