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Finding the Third Proportional to 433,126 and 666,594

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Solution

The third proportional to 433,126 and 666,594 is: 1,025,908.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,126 : 666,594 = 666,594 : x
  2. Step 2: Convert to fraction form
    433,126/666,594 = 666,594/x
  3. Step 3: Cross multiply
    433,126x = 666,594 × 666,594
  4. Step 4: Simplify right side
    433,126x = 444,347,560,836
  5. Step 5: Solve for x
    x = 444,347,560,836/433,126
  6. Step 6: Final answer
    x = 1,025,908.31

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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.