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Finding the Third Proportional to 455,908.50 and 1,055,435.06

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Solution

The third proportional to 455,908.50 and 1,055,435.06 is: 2,443,348.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,908.50 : 1,055,435.06 = 1,055,435.06 : x
  2. Step 2: Convert to fraction form
    455,908.50/1,055,435.06 = 1,055,435.06/x
  3. Step 3: Cross multiply
    455,908.50x = 1,055,435.06 × 1,055,435.06
  4. Step 4: Simplify right side
    455,908.50x = 1,113,943,171,154.38
  5. Step 5: Solve for x
    x = 1,113,943,171,154.38/455,908.50
  6. Step 6: Final answer
    x = 2,443,348.11

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.