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Finding the Third Proportional to 435,892 and 675,222

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Solution

The third proportional to 435,892 and 675,222 is: 1,045,958.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,892 : 675,222 = 675,222 : x
  2. Step 2: Convert to fraction form
    435,892/675,222 = 675,222/x
  3. Step 3: Cross multiply
    435,892x = 675,222 × 675,222
  4. Step 4: Simplify right side
    435,892x = 455,924,749,284
  5. Step 5: Solve for x
    x = 455,924,749,284/435,892
  6. Step 6: Final answer
    x = 1,045,958.06

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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.