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Finding the Third Proportional to 361,803 and 531,863.50

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Solution

The third proportional to 361,803 and 531,863.50 is: 781,858.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,803 : 531,863.50 = 531,863.50 : x
  2. Step 2: Convert to fraction form
    361,803/531,863.50 = 531,863.50/x
  3. Step 3: Cross multiply
    361,803x = 531,863.50 × 531,863.50
  4. Step 4: Simplify right side
    361,803x = 282,878,782,632.25
  5. Step 5: Solve for x
    x = 282,878,782,632.25/361,803
  6. Step 6: Final answer
    x = 781,858.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.