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Finding the Third Proportional to 292,131.09 and 437,028.91

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Solution

The third proportional to 292,131.09 and 437,028.91 is: 653,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,131.09 : 437,028.91 = 437,028.91 : x
  2. Step 2: Convert to fraction form
    292,131.09/437,028.91 = 437,028.91/x
  3. Step 3: Cross multiply
    292,131.09x = 437,028.91 × 437,028.91
  4. Step 4: Simplify right side
    292,131.09x = 190,994,272,366.83
  5. Step 5: Solve for x
    x = 190,994,272,366.83/292,131.09
  6. Step 6: Final answer
    x = 653,796.46

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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.