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Finding the Third Proportional to 435,654 and 701,847

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Solution

The third proportional to 435,654 and 701,847 is: 1,130,689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,654 : 701,847 = 701,847 : x
  2. Step 2: Convert to fraction form
    435,654/701,847 = 701,847/x
  3. Step 3: Cross multiply
    435,654x = 701,847 × 701,847
  4. Step 4: Simplify right side
    435,654x = 492,589,211,409
  5. Step 5: Solve for x
    x = 492,589,211,409/435,654
  6. Step 6: Final answer
    x = 1,130,689.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.