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Finding the Third Proportional to 248,232 and 535,833

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Solution

The third proportional to 248,232 and 535,833 is: 1,156,647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,232 : 535,833 = 535,833 : x
  2. Step 2: Convert to fraction form
    248,232/535,833 = 535,833/x
  3. Step 3: Cross multiply
    248,232x = 535,833 × 535,833
  4. Step 4: Simplify right side
    248,232x = 287,117,003,889
  5. Step 5: Solve for x
    x = 287,117,003,889/248,232
  6. Step 6: Final answer
    x = 1,156,647.83

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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.