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Finding the Third Proportional to 248,269 and 535,910

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Solution

The third proportional to 248,269 and 535,910 is: 1,156,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,269 : 535,910 = 535,910 : x
  2. Step 2: Convert to fraction form
    248,269/535,910 = 535,910/x
  3. Step 3: Cross multiply
    248,269x = 535,910 × 535,910
  4. Step 4: Simplify right side
    248,269x = 287,199,528,100
  5. Step 5: Solve for x
    x = 287,199,528,100/248,269
  6. Step 6: Final answer
    x = 1,156,807.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.