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Finding the Third Proportional to 364,144 and 547,248

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Solution

The third proportional to 364,144 and 547,248 is: 822,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,144 : 547,248 = 547,248 : x
  2. Step 2: Convert to fraction form
    364,144/547,248 = 547,248/x
  3. Step 3: Cross multiply
    364,144x = 547,248 × 547,248
  4. Step 4: Simplify right side
    364,144x = 299,480,373,504
  5. Step 5: Solve for x
    x = 299,480,373,504/364,144
  6. Step 6: Final answer
    x = 822,422.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.