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Finding the Third Proportional to 455,890.50 and 1,055,305.13

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Solution

The third proportional to 455,890.50 and 1,055,305.13 is: 2,442,842.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,890.50 : 1,055,305.13 = 1,055,305.13 : x
  2. Step 2: Convert to fraction form
    455,890.50/1,055,305.13 = 1,055,305.13/x
  3. Step 3: Cross multiply
    455,890.50x = 1,055,305.13 × 1,055,305.13
  4. Step 4: Simplify right side
    455,890.50x = 1,113,668,906,851.27
  5. Step 5: Solve for x
    x = 1,113,668,906,851.27/455,890.50
  6. Step 6: Final answer
    x = 2,442,842.98

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.