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Finding the Third Proportional to 323,136.84 and 511,435.27

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Solution

The third proportional to 323,136.84 and 511,435.27 is: 809,459.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,136.84 : 511,435.27 = 511,435.27 : x
  2. Step 2: Convert to fraction form
    323,136.84/511,435.27 = 511,435.27/x
  3. Step 3: Cross multiply
    323,136.84x = 511,435.27 × 511,435.27
  4. Step 4: Simplify right side
    323,136.84x = 261,566,030,924.91
  5. Step 5: Solve for x
    x = 261,566,030,924.91/323,136.84
  6. Step 6: Final answer
    x = 809,459.01

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.