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Finding the Third Proportional to 363,264.75 and 533,223

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Solution

The third proportional to 363,264.75 and 533,223 is: 782,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,264.75 : 533,223 = 533,223 : x
  2. Step 2: Convert to fraction form
    363,264.75/533,223 = 533,223/x
  3. Step 3: Cross multiply
    363,264.75x = 533,223 × 533,223
  4. Step 4: Simplify right side
    363,264.75x = 284,326,767,729
  5. Step 5: Solve for x
    x = 284,326,767,729/363,264.75
  6. Step 6: Final answer
    x = 782,698.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.