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Finding the Third Proportional to 262,406.25 and 417,740.63

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Solution

The third proportional to 262,406.25 and 417,740.63 is: 665,026.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,406.25 : 417,740.63 = 417,740.63 : x
  2. Step 2: Convert to fraction form
    262,406.25/417,740.63 = 417,740.63/x
  3. Step 3: Cross multiply
    262,406.25x = 417,740.63 × 417,740.63
  4. Step 4: Simplify right side
    262,406.25x = 174,507,229,775.39
  5. Step 5: Solve for x
    x = 174,507,229,775.39/262,406.25
  6. Step 6: Final answer
    x = 665,026.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.