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Finding the Third Proportional to 345,409.50 and 532,879.50

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Solution

The third proportional to 345,409.50 and 532,879.50 is: 822,098.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,409.50 : 532,879.50 = 532,879.50 : x
  2. Step 2: Convert to fraction form
    345,409.50/532,879.50 = 532,879.50/x
  3. Step 3: Cross multiply
    345,409.50x = 532,879.50 × 532,879.50
  4. Step 4: Simplify right side
    345,409.50x = 283,960,561,520.25
  5. Step 5: Solve for x
    x = 283,960,561,520.25/345,409.50
  6. Step 6: Final answer
    x = 822,098.30

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.