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Finding the Third Proportional to 363,222 and 546,129

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Solution

The third proportional to 363,222 and 546,129 is: 821,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,222 : 546,129 = 546,129 : x
  2. Step 2: Convert to fraction form
    363,222/546,129 = 546,129/x
  3. Step 3: Cross multiply
    363,222x = 546,129 × 546,129
  4. Step 4: Simplify right side
    363,222x = 298,256,884,641
  5. Step 5: Solve for x
    x = 298,256,884,641/363,222
  6. Step 6: Final answer
    x = 821,142.12

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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.