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Finding the Third Proportional to 730,999.50 and 1,096,499

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Solution

The third proportional to 730,999.50 and 1,096,499 is: 1,644,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,999.50 : 1,096,499 = 1,096,499 : x
  2. Step 2: Convert to fraction form
    730,999.50/1,096,499 = 1,096,499/x
  3. Step 3: Cross multiply
    730,999.50x = 1,096,499 × 1,096,499
  4. Step 4: Simplify right side
    730,999.50x = 1,202,310,057,001
  5. Step 5: Solve for x
    x = 1,202,310,057,001/730,999.50
  6. Step 6: Final answer
    x = 1,644,748.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.