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Finding the Third Proportional to 430,867 and 925,702

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Solution

The third proportional to 430,867 and 925,702 is: 1,988,836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,867 : 925,702 = 925,702 : x
  2. Step 2: Convert to fraction form
    430,867/925,702 = 925,702/x
  3. Step 3: Cross multiply
    430,867x = 925,702 × 925,702
  4. Step 4: Simplify right side
    430,867x = 856,924,192,804
  5. Step 5: Solve for x
    x = 856,924,192,804/430,867
  6. Step 6: Final answer
    x = 1,988,836.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.