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Finding the Third Proportional to 248,468 and 536,275

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Solution

The third proportional to 248,468 and 536,275 is: 1,157,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,468 : 536,275 = 536,275 : x
  2. Step 2: Convert to fraction form
    248,468/536,275 = 536,275/x
  3. Step 3: Cross multiply
    248,468x = 536,275 × 536,275
  4. Step 4: Simplify right side
    248,468x = 287,590,875,625
  5. Step 5: Solve for x
    x = 287,590,875,625/248,468
  6. Step 6: Final answer
    x = 1,157,456.40

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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.