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Finding the Third Proportional to 621,858 and 960,267

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Solution

The third proportional to 621,858 and 960,267 is: 1,482,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,858 : 960,267 = 960,267 : x
  2. Step 2: Convert to fraction form
    621,858/960,267 = 960,267/x
  3. Step 3: Cross multiply
    621,858x = 960,267 × 960,267
  4. Step 4: Simplify right side
    621,858x = 922,112,711,289
  5. Step 5: Solve for x
    x = 922,112,711,289/621,858
  6. Step 6: Final answer
    x = 1,482,834.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.