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Finding the Third Proportional to 305,710.88 and 440,339.63

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Solution

The third proportional to 305,710.88 and 440,339.63 is: 634,256.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,710.88 : 440,339.63 = 440,339.63 : x
  2. Step 2: Convert to fraction form
    305,710.88/440,339.63 = 440,339.63/x
  3. Step 3: Cross multiply
    305,710.88x = 440,339.63 × 440,339.63
  4. Step 4: Simplify right side
    305,710.88x = 193,898,985,345.14
  5. Step 5: Solve for x
    x = 193,898,985,345.14/305,710.88
  6. Step 6: Final answer
    x = 634,256.09

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.