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Finding the Third Proportional to 435,907 and 960,251

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Solution

The third proportional to 435,907 and 960,251 is: 2,115,318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,907 : 960,251 = 960,251 : x
  2. Step 2: Convert to fraction form
    435,907/960,251 = 960,251/x
  3. Step 3: Cross multiply
    435,907x = 960,251 × 960,251
  4. Step 4: Simplify right side
    435,907x = 922,081,983,001
  5. Step 5: Solve for x
    x = 922,081,983,001/435,907
  6. Step 6: Final answer
    x = 2,115,318.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.