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Finding the Third Proportional to 469,317 and 960,504

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Solution

The third proportional to 469,317 and 960,504 is: 1,965,767.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,317 : 960,504 = 960,504 : x
  2. Step 2: Convert to fraction form
    469,317/960,504 = 960,504/x
  3. Step 3: Cross multiply
    469,317x = 960,504 × 960,504
  4. Step 4: Simplify right side
    469,317x = 922,567,934,016
  5. Step 5: Solve for x
    x = 922,567,934,016/469,317
  6. Step 6: Final answer
    x = 1,965,767.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.