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Finding the Third Proportional to 292,596 and 436,980

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Solution

The third proportional to 292,596 and 436,980 is: 652,611.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,596 : 436,980 = 436,980 : x
  2. Step 2: Convert to fraction form
    292,596/436,980 = 436,980/x
  3. Step 3: Cross multiply
    292,596x = 436,980 × 436,980
  4. Step 4: Simplify right side
    292,596x = 190,951,520,400
  5. Step 5: Solve for x
    x = 190,951,520,400/292,596
  6. Step 6: Final answer
    x = 652,611.52

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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.