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Finding the Third Proportional to 640,147.50 and 991,138

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Solution

The third proportional to 640,147.50 and 991,138 is: 1,534,575.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,147.50 : 991,138 = 991,138 : x
  2. Step 2: Convert to fraction form
    640,147.50/991,138 = 991,138/x
  3. Step 3: Cross multiply
    640,147.50x = 991,138 × 991,138
  4. Step 4: Simplify right side
    640,147.50x = 982,354,535,044
  5. Step 5: Solve for x
    x = 982,354,535,044/640,147.50
  6. Step 6: Final answer
    x = 1,534,575.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.