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Finding the Third Proportional to 184,684 and 398,528

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Solution

The third proportional to 184,684 and 398,528 is: 859,980.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,684 : 398,528 = 398,528 : x
  2. Step 2: Convert to fraction form
    184,684/398,528 = 398,528/x
  3. Step 3: Cross multiply
    184,684x = 398,528 × 398,528
  4. Step 4: Simplify right side
    184,684x = 158,824,566,784
  5. Step 5: Solve for x
    x = 158,824,566,784/184,684
  6. Step 6: Final answer
    x = 859,980.11

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Why These Related Problems?

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