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Finding the Third Proportional to 229,795 and 496,484

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Solution

The third proportional to 229,795 and 496,484 is: 1,072,679.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,795 : 496,484 = 496,484 : x
  2. Step 2: Convert to fraction form
    229,795/496,484 = 496,484/x
  3. Step 3: Cross multiply
    229,795x = 496,484 × 496,484
  4. Step 4: Simplify right side
    229,795x = 246,496,362,256
  5. Step 5: Solve for x
    x = 246,496,362,256/229,795
  6. Step 6: Final answer
    x = 1,072,679.40

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Why These Related Problems?

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