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Finding the Third Proportional to 309,922.50 and 678,813

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Solution

The third proportional to 309,922.50 and 678,813 is: 1,486,781.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,922.50 : 678,813 = 678,813 : x
  2. Step 2: Convert to fraction form
    309,922.50/678,813 = 678,813/x
  3. Step 3: Cross multiply
    309,922.50x = 678,813 × 678,813
  4. Step 4: Simplify right side
    309,922.50x = 460,787,088,969
  5. Step 5: Solve for x
    x = 460,787,088,969/309,922.50
  6. Step 6: Final answer
    x = 1,486,781.66

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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.