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Finding the Third Proportional to 323,239.50 and 511,582.50

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Solution

The third proportional to 323,239.50 and 511,582.50 is: 809,667.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,239.50 : 511,582.50 = 511,582.50 : x
  2. Step 2: Convert to fraction form
    323,239.50/511,582.50 = 511,582.50/x
  3. Step 3: Cross multiply
    323,239.50x = 511,582.50 × 511,582.50
  4. Step 4: Simplify right side
    323,239.50x = 261,716,654,306.25
  5. Step 5: Solve for x
    x = 261,716,654,306.25/323,239.50
  6. Step 6: Final answer
    x = 809,667.92

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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.