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Finding the Third Proportional to 454,405.50 and 712,977.75

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Solution

The third proportional to 454,405.50 and 712,977.75 is: 1,118,686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,405.50 : 712,977.75 = 712,977.75 : x
  2. Step 2: Convert to fraction form
    454,405.50/712,977.75 = 712,977.75/x
  3. Step 3: Cross multiply
    454,405.50x = 712,977.75 × 712,977.75
  4. Step 4: Simplify right side
    454,405.50x = 508,337,271,995.06
  5. Step 5: Solve for x
    x = 508,337,271,995.06/454,405.50
  6. Step 6: Final answer
    x = 1,118,686.44

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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.