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Finding the Third Proportional to 361,780.50 and 531,832.50

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Solution

The third proportional to 361,780.50 and 531,832.50 is: 781,816.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,780.50 : 531,832.50 = 531,832.50 : x
  2. Step 2: Convert to fraction form
    361,780.50/531,832.50 = 531,832.50/x
  3. Step 3: Cross multiply
    361,780.50x = 531,832.50 × 531,832.50
  4. Step 4: Simplify right side
    361,780.50x = 282,845,808,056.25
  5. Step 5: Solve for x
    x = 282,845,808,056.25/361,780.50
  6. Step 6: Final answer
    x = 781,816.07

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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.