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Finding the Third Proportional to 248,672 and 536,656

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Solution

The third proportional to 248,672 and 536,656 is: 1,158,150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,672 : 536,656 = 536,656 : x
  2. Step 2: Convert to fraction form
    248,672/536,656 = 536,656/x
  3. Step 3: Cross multiply
    248,672x = 536,656 × 536,656
  4. Step 4: Simplify right side
    248,672x = 287,999,662,336
  5. Step 5: Solve for x
    x = 287,999,662,336/248,672
  6. Step 6: Final answer
    x = 1,158,150.75

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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.