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Finding the Third Proportional to 323,120 and 536,656

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Solution

The third proportional to 323,120 and 536,656 is: 891,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,120 : 536,656 = 536,656 : x
  2. Step 2: Convert to fraction form
    323,120/536,656 = 536,656/x
  3. Step 3: Cross multiply
    323,120x = 536,656 × 536,656
  4. Step 4: Simplify right side
    323,120x = 287,999,662,336
  5. Step 5: Solve for x
    x = 287,999,662,336/323,120
  6. Step 6: Final answer
    x = 891,308.69

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.