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Finding the Third Proportional to 433,124 and 666,591

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Solution

The third proportional to 433,124 and 666,591 is: 1,025,903.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,124 : 666,591 = 666,591 : x
  2. Step 2: Convert to fraction form
    433,124/666,591 = 666,591/x
  3. Step 3: Cross multiply
    433,124x = 666,591 × 666,591
  4. Step 4: Simplify right side
    433,124x = 444,343,561,281
  5. Step 5: Solve for x
    x = 444,343,561,281/433,124
  6. Step 6: Final answer
    x = 1,025,903.81

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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.