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Finding the Third Proportional to 227,000 and 493,312

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Solution

The third proportional to 227,000 and 493,312 is: 1,072,056.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,000 : 493,312 = 493,312 : x
  2. Step 2: Convert to fraction form
    227,000/493,312 = 493,312/x
  3. Step 3: Cross multiply
    227,000x = 493,312 × 493,312
  4. Step 4: Simplify right side
    227,000x = 243,356,729,344
  5. Step 5: Solve for x
    x = 243,356,729,344/227,000
  6. Step 6: Final answer
    x = 1,072,056.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.