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Finding the Third Proportional to 324,369 and 516,532.50

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Solution

The third proportional to 324,369 and 516,532.50 is: 822,537.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,369 : 516,532.50 = 516,532.50 : x
  2. Step 2: Convert to fraction form
    324,369/516,532.50 = 516,532.50/x
  3. Step 3: Cross multiply
    324,369x = 516,532.50 × 516,532.50
  4. Step 4: Simplify right side
    324,369x = 266,805,823,556.25
  5. Step 5: Solve for x
    x = 266,805,823,556.25/324,369
  6. Step 6: Final answer
    x = 822,537.98

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.