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Finding the Third Proportional to 265,763.21 and 410,395.68

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Solution

The third proportional to 265,763.21 and 410,395.68 is: 633,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,763.21 : 410,395.68 = 410,395.68 : x
  2. Step 2: Convert to fraction form
    265,763.21/410,395.68 = 410,395.68/x
  3. Step 3: Cross multiply
    265,763.21x = 410,395.68 × 410,395.68
  4. Step 4: Simplify right side
    265,763.21x = 168,424,610,699.95
  5. Step 5: Solve for x
    x = 168,424,610,699.95/265,763.21
  6. Step 6: Final answer
    x = 633,739.36

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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.