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Finding the Third Proportional to 292,104 and 621,872

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Solution

The third proportional to 292,104 and 621,872 is: 1,323,928.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,104 : 621,872 = 621,872 : x
  2. Step 2: Convert to fraction form
    292,104/621,872 = 621,872/x
  3. Step 3: Cross multiply
    292,104x = 621,872 × 621,872
  4. Step 4: Simplify right side
    292,104x = 386,724,784,384
  5. Step 5: Solve for x
    x = 386,724,784,384/292,104
  6. Step 6: Final answer
    x = 1,323,928.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.