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Finding the Third Proportional to 354,436.50 and 777,766.50

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Solution

The third proportional to 354,436.50 and 777,766.50 is: 1,706,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,436.50 : 777,766.50 = 777,766.50 : x
  2. Step 2: Convert to fraction form
    354,436.50/777,766.50 = 777,766.50/x
  3. Step 3: Cross multiply
    354,436.50x = 777,766.50 × 777,766.50
  4. Step 4: Simplify right side
    354,436.50x = 604,920,728,522.25
  5. Step 5: Solve for x
    x = 604,920,728,522.25/354,436.50
  6. Step 6: Final answer
    x = 1,706,711.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.