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Finding the Third Proportional to 184,846 and 398,528

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Solution

The third proportional to 184,846 and 398,528 is: 859,226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,846 : 398,528 = 398,528 : x
  2. Step 2: Convert to fraction form
    184,846/398,528 = 398,528/x
  3. Step 3: Cross multiply
    184,846x = 398,528 × 398,528
  4. Step 4: Simplify right side
    184,846x = 158,824,566,784
  5. Step 5: Solve for x
    x = 158,824,566,784/184,846
  6. Step 6: Final answer
    x = 859,226.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.