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Finding the Third Proportional to 248,989.50 and 533,479.50

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Solution

The third proportional to 248,989.50 and 533,479.50 is: 1,143,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,989.50 : 533,479.50 = 533,479.50 : x
  2. Step 2: Convert to fraction form
    248,989.50/533,479.50 = 533,479.50/x
  3. Step 3: Cross multiply
    248,989.50x = 533,479.50 × 533,479.50
  4. Step 4: Simplify right side
    248,989.50x = 284,600,376,920.25
  5. Step 5: Solve for x
    x = 284,600,376,920.25/248,989.50
  6. Step 6: Final answer
    x = 1,143,021.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.