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Finding the Third Proportional to 433,148 and 666,638

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Solution

The third proportional to 433,148 and 666,638 is: 1,025,991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,148 : 666,638 = 666,638 : x
  2. Step 2: Convert to fraction form
    433,148/666,638 = 666,638/x
  3. Step 3: Cross multiply
    433,148x = 666,638 × 666,638
  4. Step 4: Simplify right side
    433,148x = 444,406,223,044
  5. Step 5: Solve for x
    x = 444,406,223,044/433,148
  6. Step 6: Final answer
    x = 1,025,991.63

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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.