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Finding the Third Proportional to 292,775 and 436,725

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Solution

The third proportional to 292,775 and 436,725 is: 651,451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,775 : 436,725 = 436,725 : x
  2. Step 2: Convert to fraction form
    292,775/436,725 = 436,725/x
  3. Step 3: Cross multiply
    292,775x = 436,725 × 436,725
  4. Step 4: Simplify right side
    292,775x = 190,728,725,625
  5. Step 5: Solve for x
    x = 190,728,725,625/292,775
  6. Step 6: Final answer
    x = 651,451.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.