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Finding the Third Proportional to 291,268 and 623,022

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Solution

The third proportional to 291,268 and 623,022 is: 1,332,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,268 : 623,022 = 623,022 : x
  2. Step 2: Convert to fraction form
    291,268/623,022 = 623,022/x
  3. Step 3: Cross multiply
    291,268x = 623,022 × 623,022
  4. Step 4: Simplify right side
    291,268x = 388,156,412,484
  5. Step 5: Solve for x
    x = 388,156,412,484/291,268
  6. Step 6: Final answer
    x = 1,332,643.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.