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Finding the Third Proportional to 368,203.50 and 563,010.75

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Solution

The third proportional to 368,203.50 and 563,010.75 is: 860,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,203.50 : 563,010.75 = 563,010.75 : x
  2. Step 2: Convert to fraction form
    368,203.50/563,010.75 = 563,010.75/x
  3. Step 3: Cross multiply
    368,203.50x = 563,010.75 × 563,010.75
  4. Step 4: Simplify right side
    368,203.50x = 316,981,104,615.56
  5. Step 5: Solve for x
    x = 316,981,104,615.56/368,203.50
  6. Step 6: Final answer
    x = 860,885.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.