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Finding the Third Proportional to 293,900.06 and 439,710.94

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Solution

The third proportional to 293,900.06 and 439,710.94 is: 657,862.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,900.06 : 439,710.94 = 439,710.94 : x
  2. Step 2: Convert to fraction form
    293,900.06/439,710.94 = 439,710.94/x
  3. Step 3: Cross multiply
    293,900.06x = 439,710.94 × 439,710.94
  4. Step 4: Simplify right side
    293,900.06x = 193,345,708,557.13
  5. Step 5: Solve for x
    x = 193,345,708,557.13/293,900.06
  6. Step 6: Final answer
    x = 657,862.09

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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.