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Finding the Third Proportional to 435,670 and 666,321

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Solution

The third proportional to 435,670 and 666,321 is: 1,019,082.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,670 : 666,321 = 666,321 : x
  2. Step 2: Convert to fraction form
    435,670/666,321 = 666,321/x
  3. Step 3: Cross multiply
    435,670x = 666,321 × 666,321
  4. Step 4: Simplify right side
    435,670x = 443,983,675,041
  5. Step 5: Solve for x
    x = 443,983,675,041/435,670
  6. Step 6: Final answer
    x = 1,019,082.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.