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Finding the Third Proportional to 480,709 and 754,063

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Solution

The third proportional to 480,709 and 754,063 is: 1,182,859.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,709 : 754,063 = 754,063 : x
  2. Step 2: Convert to fraction form
    480,709/754,063 = 754,063/x
  3. Step 3: Cross multiply
    480,709x = 754,063 × 754,063
  4. Step 4: Simplify right side
    480,709x = 568,611,007,969
  5. Step 5: Solve for x
    x = 568,611,007,969/480,709
  6. Step 6: Final answer
    x = 1,182,859.09

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.