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Finding the Third Proportional to 294,042.66 and 432,451.41

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Solution

The third proportional to 294,042.66 and 432,451.41 is: 636,010.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,042.66 : 432,451.41 = 432,451.41 : x
  2. Step 2: Convert to fraction form
    294,042.66/432,451.41 = 432,451.41/x
  3. Step 3: Cross multiply
    294,042.66x = 432,451.41 × 432,451.41
  4. Step 4: Simplify right side
    294,042.66x = 187,014,218,767.60
  5. Step 5: Solve for x
    x = 187,014,218,767.60/294,042.66
  6. Step 6: Final answer
    x = 636,010.51

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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.