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Finding the Third Proportional to 433,170 and 669,429

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Solution

The third proportional to 433,170 and 669,429 is: 1,034,548.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,170 : 669,429 = 669,429 : x
  2. Step 2: Convert to fraction form
    433,170/669,429 = 669,429/x
  3. Step 3: Cross multiply
    433,170x = 669,429 × 669,429
  4. Step 4: Simplify right side
    433,170x = 448,135,186,041
  5. Step 5: Solve for x
    x = 448,135,186,041/433,170
  6. Step 6: Final answer
    x = 1,034,548.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.