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Finding the Third Proportional to 294,036.75 and 432,440.44

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Solution

The third proportional to 294,036.75 and 432,440.44 is: 635,991.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,036.75 : 432,440.44 = 432,440.44 : x
  2. Step 2: Convert to fraction form
    294,036.75/432,440.44 = 432,440.44/x
  3. Step 3: Cross multiply
    294,036.75x = 432,440.44 × 432,440.44
  4. Step 4: Simplify right side
    294,036.75x = 187,004,731,985.19
  5. Step 5: Solve for x
    x = 187,004,731,985.19/294,036.75
  6. Step 6: Final answer
    x = 635,991.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.