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Finding the Third Proportional to 262,341.28 and 405,107.58

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Solution

The third proportional to 262,341.28 and 405,107.58 is: 625,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,341.28 : 405,107.58 = 405,107.58 : x
  2. Step 2: Convert to fraction form
    262,341.28/405,107.58 = 405,107.58/x
  3. Step 3: Cross multiply
    262,341.28x = 405,107.58 × 405,107.58
  4. Step 4: Simplify right side
    262,341.28x = 164,112,149,854.30
  5. Step 5: Solve for x
    x = 164,112,149,854.30/262,341.28
  6. Step 6: Final answer
    x = 625,567.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.