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Finding the Third Proportional to 535,882.50 and 829,392.75

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Solution

The third proportional to 535,882.50 and 829,392.75 is: 1,283,662.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,882.50 : 829,392.75 = 829,392.75 : x
  2. Step 2: Convert to fraction form
    535,882.50/829,392.75 = 829,392.75/x
  3. Step 3: Cross multiply
    535,882.50x = 829,392.75 × 829,392.75
  4. Step 4: Simplify right side
    535,882.50x = 687,892,333,752.56
  5. Step 5: Solve for x
    x = 687,892,333,752.56/535,882.50
  6. Step 6: Final answer
    x = 1,283,662.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.