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Finding the Third Proportional to 413,525.25 and 933,666.75

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Solution

The third proportional to 413,525.25 and 933,666.75 is: 2,108,054.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,525.25 : 933,666.75 = 933,666.75 : x
  2. Step 2: Convert to fraction form
    413,525.25/933,666.75 = 933,666.75/x
  3. Step 3: Cross multiply
    413,525.25x = 933,666.75 × 933,666.75
  4. Step 4: Simplify right side
    413,525.25x = 871,733,600,055.56
  5. Step 5: Solve for x
    x = 871,733,600,055.56/413,525.25
  6. Step 6: Final answer
    x = 2,108,054.10

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.