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Finding the Third Proportional to 231,798 and 536,614.50

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Solution

The third proportional to 231,798 and 536,614.50 is: 1,242,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,798 : 536,614.50 = 536,614.50 : x
  2. Step 2: Convert to fraction form
    231,798/536,614.50 = 536,614.50/x
  3. Step 3: Cross multiply
    231,798x = 536,614.50 × 536,614.50
  4. Step 4: Simplify right side
    231,798x = 287,955,121,610.25
  5. Step 5: Solve for x
    x = 287,955,121,610.25/231,798
  6. Step 6: Final answer
    x = 1,242,267.50

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.