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Finding the Third Proportional to 256,497.19 and 383,309.44

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Solution

The third proportional to 256,497.19 and 383,309.44 is: 572,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,497.19 : 383,309.44 = 383,309.44 : x
  2. Step 2: Convert to fraction form
    256,497.19/383,309.44 = 383,309.44/x
  3. Step 3: Cross multiply
    256,497.19x = 383,309.44 × 383,309.44
  4. Step 4: Simplify right side
    256,497.19x = 146,926,124,876.57
  5. Step 5: Solve for x
    x = 146,926,124,876.57/256,497.19
  6. Step 6: Final answer
    x = 572,817.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.