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Finding the Third Proportional to 420,773 and 591,847.50

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Solution

The third proportional to 420,773 and 591,847.50 is: 832,476.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,773 : 591,847.50 = 591,847.50 : x
  2. Step 2: Convert to fraction form
    420,773/591,847.50 = 591,847.50/x
  3. Step 3: Cross multiply
    420,773x = 591,847.50 × 591,847.50
  4. Step 4: Simplify right side
    420,773x = 350,283,463,256.25
  5. Step 5: Solve for x
    x = 350,283,463,256.25/420,773
  6. Step 6: Final answer
    x = 832,476.09

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.