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Finding the Third Proportional to 311,526 and 494,869.50

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Solution

The third proportional to 311,526 and 494,869.50 is: 786,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,526 : 494,869.50 = 494,869.50 : x
  2. Step 2: Convert to fraction form
    311,526/494,869.50 = 494,869.50/x
  3. Step 3: Cross multiply
    311,526x = 494,869.50 × 494,869.50
  4. Step 4: Simplify right side
    311,526x = 244,895,822,030.25
  5. Step 5: Solve for x
    x = 244,895,822,030.25/311,526
  6. Step 6: Final answer
    x = 786,116.80

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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.