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Finding the Third Proportional to 248,257 and 535,875

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Solution

The third proportional to 248,257 and 535,875 is: 1,156,712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,257 : 535,875 = 535,875 : x
  2. Step 2: Convert to fraction form
    248,257/535,875 = 535,875/x
  3. Step 3: Cross multiply
    248,257x = 535,875 × 535,875
  4. Step 4: Simplify right side
    248,257x = 287,162,015,625
  5. Step 5: Solve for x
    x = 287,162,015,625/248,257
  6. Step 6: Final answer
    x = 1,156,712.66

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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.