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Finding the Third Proportional to 292,131.28 and 437,029.22

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Solution

The third proportional to 292,131.28 and 437,029.22 is: 653,796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,131.28 : 437,029.22 = 437,029.22 : x
  2. Step 2: Convert to fraction form
    292,131.28/437,029.22 = 437,029.22/x
  3. Step 3: Cross multiply
    292,131.28x = 437,029.22 × 437,029.22
  4. Step 4: Simplify right side
    292,131.28x = 190,994,538,041.24
  5. Step 5: Solve for x
    x = 190,994,538,041.24/292,131.28
  6. Step 6: Final answer
    x = 653,796.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.