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Finding the Third Proportional to 293,893.31 and 439,700.91

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Solution

The third proportional to 293,893.31 and 439,700.91 is: 657,847.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,893.31 : 439,700.91 = 439,700.91 : x
  2. Step 2: Convert to fraction form
    293,893.31/439,700.91 = 439,700.91/x
  3. Step 3: Cross multiply
    293,893.31x = 439,700.91 × 439,700.91
  4. Step 4: Simplify right side
    293,893.31x = 193,336,886,957.07
  5. Step 5: Solve for x
    x = 193,336,886,957.07/293,893.31
  6. Step 6: Final answer
    x = 657,847.18

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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.