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Finding the Third Proportional to 407,268 and 842,472

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Solution

The third proportional to 407,268 and 842,472 is: 1,742,732.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,268 : 842,472 = 842,472 : x
  2. Step 2: Convert to fraction form
    407,268/842,472 = 842,472/x
  3. Step 3: Cross multiply
    407,268x = 842,472 × 842,472
  4. Step 4: Simplify right side
    407,268x = 709,759,070,784
  5. Step 5: Solve for x
    x = 709,759,070,784/407,268
  6. Step 6: Final answer
    x = 1,742,732.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.