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Finding the Third Proportional to 454,991.50 and 713,686.50

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Solution

The third proportional to 454,991.50 and 713,686.50 is: 1,119,467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,991.50 : 713,686.50 = 713,686.50 : x
  2. Step 2: Convert to fraction form
    454,991.50/713,686.50 = 713,686.50/x
  3. Step 3: Cross multiply
    454,991.50x = 713,686.50 × 713,686.50
  4. Step 4: Simplify right side
    454,991.50x = 509,348,420,282.25
  5. Step 5: Solve for x
    x = 509,348,420,282.25/454,991.50
  6. Step 6: Final answer
    x = 1,119,467.99

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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.