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Finding the Third Proportional to 366,946 and 561,361

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Solution

The third proportional to 366,946 and 561,361 is: 858,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,946 : 561,361 = 561,361 : x
  2. Step 2: Convert to fraction form
    366,946/561,361 = 561,361/x
  3. Step 3: Cross multiply
    366,946x = 561,361 × 561,361
  4. Step 4: Simplify right side
    366,946x = 315,126,172,321
  5. Step 5: Solve for x
    x = 315,126,172,321/366,946
  6. Step 6: Final answer
    x = 858,780.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.