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Finding the Third Proportional to 295,944 and 480,811.50

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Solution

The third proportional to 295,944 and 480,811.50 is: 781,160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,944 : 480,811.50 = 480,811.50 : x
  2. Step 2: Convert to fraction form
    295,944/480,811.50 = 480,811.50/x
  3. Step 3: Cross multiply
    295,944x = 480,811.50 × 480,811.50
  4. Step 4: Simplify right side
    295,944x = 231,179,698,532.25
  5. Step 5: Solve for x
    x = 231,179,698,532.25/295,944
  6. Step 6: Final answer
    x = 781,160.28

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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.