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Finding the Third Proportional to 301,164.75 and 484,309.13

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Solution

The third proportional to 301,164.75 and 484,309.13 is: 778,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,164.75 : 484,309.13 = 484,309.13 : x
  2. Step 2: Convert to fraction form
    301,164.75/484,309.13 = 484,309.13/x
  3. Step 3: Cross multiply
    301,164.75x = 484,309.13 × 484,309.13
  4. Step 4: Simplify right side
    301,164.75x = 234,555,328,558.27
  5. Step 5: Solve for x
    x = 234,555,328,558.27/301,164.75
  6. Step 6: Final answer
    x = 778,827.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.