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Finding the Third Proportional to 292,692 and 437,790

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Solution

The third proportional to 292,692 and 437,790 is: 654,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,692 : 437,790 = 437,790 : x
  2. Step 2: Convert to fraction form
    292,692/437,790 = 437,790/x
  3. Step 3: Cross multiply
    292,692x = 437,790 × 437,790
  4. Step 4: Simplify right side
    292,692x = 191,660,084,100
  5. Step 5: Solve for x
    x = 191,660,084,100/292,692
  6. Step 6: Final answer
    x = 654,818.32

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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.