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Finding the Third Proportional to 640,155 and 991,147.50

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Solution

The third proportional to 640,155 and 991,147.50 is: 1,534,586.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,155 : 991,147.50 = 991,147.50 : x
  2. Step 2: Convert to fraction form
    640,155/991,147.50 = 991,147.50/x
  3. Step 3: Cross multiply
    640,155x = 991,147.50 × 991,147.50
  4. Step 4: Simplify right side
    640,155x = 982,373,366,756.25
  5. Step 5: Solve for x
    x = 982,373,366,756.25/640,155
  6. Step 6: Final answer
    x = 1,534,586.73

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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.