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Finding the Third Proportional to 483,057 and 709,816.50

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Solution

The third proportional to 483,057 and 709,816.50 is: 1,043,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,057 : 709,816.50 = 709,816.50 : x
  2. Step 2: Convert to fraction form
    483,057/709,816.50 = 709,816.50/x
  3. Step 3: Cross multiply
    483,057x = 709,816.50 × 709,816.50
  4. Step 4: Simplify right side
    483,057x = 503,839,463,672.25
  5. Step 5: Solve for x
    x = 503,839,463,672.25/483,057
  6. Step 6: Final answer
    x = 1,043,022.80

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.